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Finding the Fourth Proportional to 929.91, 1,394.01 and 461.28

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Solution

The fourth proportional to 929.91, 1,394.01 and 461.28 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.91 : 1,394.01 = 461.28 : x
  2. Step 2: Convert to fraction form
    929.91/1,394.01 = 461.28/x
  3. Step 3: Cross multiply
    929.91x = 1,394.01 × 461.28
  4. Step 4: Simplify right side
    929.91x = 643,028.93
  5. Step 5: Solve for x
    x = 643,028.93/929.91
  6. Step 6: Final answer
    x = 691.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.