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Finding the Fourth Proportional to 728.98, 1,005.74 and 467.14

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Solution

The fourth proportional to 728.98, 1,005.74 and 467.14 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.98 : 1,005.74 = 467.14 : x
  2. Step 2: Convert to fraction form
    728.98/1,005.74 = 467.14/x
  3. Step 3: Cross multiply
    728.98x = 1,005.74 × 467.14
  4. Step 4: Simplify right side
    728.98x = 469,821.38
  5. Step 5: Solve for x
    x = 469,821.38/728.98
  6. Step 6: Final answer
    x = 644.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.