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Finding the Fourth Proportional to 669.54, 924 and 503.42

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Solution

The fourth proportional to 669.54, 924 and 503.42 is: 694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 924 = 503.42 : x
  2. Step 2: Convert to fraction form
    669.54/924 = 503.42/x
  3. Step 3: Cross multiply
    669.54x = 924 × 503.42
  4. Step 4: Simplify right side
    669.54x = 465,160.08
  5. Step 5: Solve for x
    x = 465,160.08/669.54
  6. Step 6: Final answer
    x = 694.75

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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.