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Finding the Fourth Proportional to 669.76, 924.16 and 495.36

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Solution

The fourth proportional to 669.76, 924.16 and 495.36 is: 683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 924.16 = 495.36 : x
  2. Step 2: Convert to fraction form
    669.76/924.16 = 495.36/x
  3. Step 3: Cross multiply
    669.76x = 924.16 × 495.36
  4. Step 4: Simplify right side
    669.76x = 457,791.90
  5. Step 5: Solve for x
    x = 457,791.90/669.76
  6. Step 6: Final answer
    x = 683.52

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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.