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Finding the Fourth Proportional to 924.36, 1,385.28 and 491.28

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Solution

The fourth proportional to 924.36, 1,385.28 and 491.28 is: 736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.36 : 1,385.28 = 491.28 : x
  2. Step 2: Convert to fraction form
    924.36/1,385.28 = 491.28/x
  3. Step 3: Cross multiply
    924.36x = 1,385.28 × 491.28
  4. Step 4: Simplify right side
    924.36x = 680,560.36
  5. Step 5: Solve for x
    x = 680,560.36/924.36
  6. Step 6: Final answer
    x = 736.25

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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.