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Finding the Fourth Proportional to 715.03, 1,064.82 and 706.93

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Solution

The fourth proportional to 715.03, 1,064.82 and 706.93 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.03 : 1,064.82 = 706.93 : x
  2. Step 2: Convert to fraction form
    715.03/1,064.82 = 706.93/x
  3. Step 3: Cross multiply
    715.03x = 1,064.82 × 706.93
  4. Step 4: Simplify right side
    715.03x = 752,753.20
  5. Step 5: Solve for x
    x = 752,753.20/715.03
  6. Step 6: Final answer
    x = 1,052.76

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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.