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Finding the Fourth Proportional to 715.62, 1,066.72 and 637.14

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Solution

The fourth proportional to 715.62, 1,066.72 and 637.14 is: 949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.62 : 1,066.72 = 637.14 : x
  2. Step 2: Convert to fraction form
    715.62/1,066.72 = 637.14/x
  3. Step 3: Cross multiply
    715.62x = 1,066.72 × 637.14
  4. Step 4: Simplify right side
    715.62x = 679,649.98
  5. Step 5: Solve for x
    x = 679,649.98/715.62
  6. Step 6: Final answer
    x = 949.74

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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.