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Finding the Fourth Proportional to 645.53, 962.88 and 592.46

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Solution

The fourth proportional to 645.53, 962.88 and 592.46 is: 883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.53 : 962.88 = 592.46 : x
  2. Step 2: Convert to fraction form
    645.53/962.88 = 592.46/x
  3. Step 3: Cross multiply
    645.53x = 962.88 × 592.46
  4. Step 4: Simplify right side
    645.53x = 570,463.07
  5. Step 5: Solve for x
    x = 570,463.07/645.53
  6. Step 6: Final answer
    x = 883.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.