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Finding the Fourth Proportional to 687.54, 1,026.52 and 645.85

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Solution

The fourth proportional to 687.54, 1,026.52 and 645.85 is: 964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.54 : 1,026.52 = 645.85 : x
  2. Step 2: Convert to fraction form
    687.54/1,026.52 = 645.85/x
  3. Step 3: Cross multiply
    687.54x = 1,026.52 × 645.85
  4. Step 4: Simplify right side
    687.54x = 662,978.36
  5. Step 5: Solve for x
    x = 662,978.36/687.54
  6. Step 6: Final answer
    x = 964.28

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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.