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Finding the Fourth Proportional to 871.59, 1,307.93 and 358.59

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Solution

The fourth proportional to 871.59, 1,307.93 and 358.59 is: 538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.59 : 1,307.93 = 358.59 : x
  2. Step 2: Convert to fraction form
    871.59/1,307.93 = 358.59/x
  3. Step 3: Cross multiply
    871.59x = 1,307.93 × 358.59
  4. Step 4: Simplify right side
    871.59x = 469,008.83
  5. Step 5: Solve for x
    x = 469,008.83/871.59
  6. Step 6: Final answer
    x = 538.11

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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.