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Finding the Fourth Proportional to 871.07, 1,306.59 and 358.07

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Solution

The fourth proportional to 871.07, 1,306.59 and 358.07 is: 537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.07 : 1,306.59 = 358.07 : x
  2. Step 2: Convert to fraction form
    871.07/1,306.59 = 358.07/x
  3. Step 3: Cross multiply
    871.07x = 1,306.59 × 358.07
  4. Step 4: Simplify right side
    871.07x = 467,850.68
  5. Step 5: Solve for x
    x = 467,850.68/871.07
  6. Step 6: Final answer
    x = 537.10

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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.