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Finding the Fourth Proportional to 710.97, 1,068.89 and 657.51

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Solution

The fourth proportional to 710.97, 1,068.89 and 657.51 is: 988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 1,068.89 = 657.51 : x
  2. Step 2: Convert to fraction form
    710.97/1,068.89 = 657.51/x
  3. Step 3: Cross multiply
    710.97x = 1,068.89 × 657.51
  4. Step 4: Simplify right side
    710.97x = 702,805.86
  5. Step 5: Solve for x
    x = 702,805.86/710.97
  6. Step 6: Final answer
    x = 988.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.