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Finding the Fourth Proportional to 728.03, 1,005.02 and 466.19

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Solution

The fourth proportional to 728.03, 1,005.02 and 466.19 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.03 : 1,005.02 = 466.19 : x
  2. Step 2: Convert to fraction form
    728.03/1,005.02 = 466.19/x
  3. Step 3: Cross multiply
    728.03x = 1,005.02 × 466.19
  4. Step 4: Simplify right side
    728.03x = 468,527.94
  5. Step 5: Solve for x
    x = 468,527.94/728.03
  6. Step 6: Final answer
    x = 643.56

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Double scale
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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.