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Finding the Fourth Proportional to 645.52, 962.06 and 640.15

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Solution

The fourth proportional to 645.52, 962.06 and 640.15 is: 954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 962.06 = 640.15 : x
  2. Step 2: Convert to fraction form
    645.52/962.06 = 640.15/x
  3. Step 3: Cross multiply
    645.52x = 962.06 × 640.15
  4. Step 4: Simplify right side
    645.52x = 615,862.71
  5. Step 5: Solve for x
    x = 615,862.71/645.52
  6. Step 6: Final answer
    x = 954.06

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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.