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Finding the Fourth Proportional to 678.12, 1,010.04 and 646.52

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Solution

The fourth proportional to 678.12, 1,010.04 and 646.52 is: 962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 1,010.04 = 646.52 : x
  2. Step 2: Convert to fraction form
    678.12/1,010.04 = 646.52/x
  3. Step 3: Cross multiply
    678.12x = 1,010.04 × 646.52
  4. Step 4: Simplify right side
    678.12x = 653,011.06
  5. Step 5: Solve for x
    x = 653,011.06/678.12
  6. Step 6: Final answer
    x = 962.97

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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.