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Finding the Fourth Proportional to 645.28, 962.51 and 592.20

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Solution

The fourth proportional to 645.28, 962.51 and 592.20 is: 883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.28 : 962.51 = 592.20 : x
  2. Step 2: Convert to fraction form
    645.28/962.51 = 592.20/x
  3. Step 3: Cross multiply
    645.28x = 962.51 × 592.20
  4. Step 4: Simplify right side
    645.28x = 569,998.42
  5. Step 5: Solve for x
    x = 569,998.42/645.28
  6. Step 6: Final answer
    x = 883.34

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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.