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Finding the Fourth Proportional to 687.02, 1,024.82 and 645.10

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Solution

The fourth proportional to 687.02, 1,024.82 and 645.10 is: 962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.02 : 1,024.82 = 645.10 : x
  2. Step 2: Convert to fraction form
    687.02/1,024.82 = 645.10/x
  3. Step 3: Cross multiply
    687.02x = 1,024.82 × 645.10
  4. Step 4: Simplify right side
    687.02x = 661,108.01
  5. Step 5: Solve for x
    x = 661,108.01/687.02
  6. Step 6: Final answer
    x = 962.29

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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.