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Finding the Fourth Proportional to 710.72, 1,068.51 and 657.26

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Solution

The fourth proportional to 710.72, 1,068.51 and 657.26 is: 988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.72 : 1,068.51 = 657.26 : x
  2. Step 2: Convert to fraction form
    710.72/1,068.51 = 657.26/x
  3. Step 3: Cross multiply
    710.72x = 1,068.51 × 657.26
  4. Step 4: Simplify right side
    710.72x = 702,288.88
  5. Step 5: Solve for x
    x = 702,288.88/710.72
  6. Step 6: Final answer
    x = 988.14

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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.