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Finding the Fourth Proportional to 871.06, 1,307.94 and 707.17

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Solution

The fourth proportional to 871.06, 1,307.94 and 707.17 is: 1,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.06 : 1,307.94 = 707.17 : x
  2. Step 2: Convert to fraction form
    871.06/1,307.94 = 707.17/x
  3. Step 3: Cross multiply
    871.06x = 1,307.94 × 707.17
  4. Step 4: Simplify right side
    871.06x = 924,935.93
  5. Step 5: Solve for x
    x = 924,935.93/871.06
  6. Step 6: Final answer
    x = 1,061.85

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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.