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Finding the Fourth Proportional to 715.13, 1,065.93 and 691.44

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Solution

The fourth proportional to 715.13, 1,065.93 and 691.44 is: 1,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.13 : 1,065.93 = 691.44 : x
  2. Step 2: Convert to fraction form
    715.13/1,065.93 = 691.44/x
  3. Step 3: Cross multiply
    715.13x = 1,065.93 × 691.44
  4. Step 4: Simplify right side
    715.13x = 737,025.70
  5. Step 5: Solve for x
    x = 737,025.70/715.13
  6. Step 6: Final answer
    x = 1,030.62

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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.