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Finding the Fourth Proportional to 669.62, 924.14 and 404.10

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Solution

The fourth proportional to 669.62, 924.14 and 404.10 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.62 : 924.14 = 404.10 : x
  2. Step 2: Convert to fraction form
    669.62/924.14 = 404.10/x
  3. Step 3: Cross multiply
    669.62x = 924.14 × 404.10
  4. Step 4: Simplify right side
    669.62x = 373,445.98
  5. Step 5: Solve for x
    x = 373,445.98/669.62
  6. Step 6: Final answer
    x = 557.70

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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.