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Finding the Fourth Proportional to 1,154.42, 1,731.54 and 715.75

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Solution

The fourth proportional to 1,154.42, 1,731.54 and 715.75 is: 1,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.42 : 1,731.54 = 715.75 : x
  2. Step 2: Convert to fraction form
    1,154.42/1,731.54 = 715.75/x
  3. Step 3: Cross multiply
    1,154.42x = 1,731.54 × 715.75
  4. Step 4: Simplify right side
    1,154.42x = 1,239,357.85
  5. Step 5: Solve for x
    x = 1,239,357.85/1,154.42
  6. Step 6: Final answer
    x = 1,073.58

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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.