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Finding the Fourth Proportional to 871.72, 1,309.14 and 802.17

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Solution

The fourth proportional to 871.72, 1,309.14 and 802.17 is: 1,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.72 : 1,309.14 = 802.17 : x
  2. Step 2: Convert to fraction form
    871.72/1,309.14 = 802.17/x
  3. Step 3: Cross multiply
    871.72x = 1,309.14 × 802.17
  4. Step 4: Simplify right side
    871.72x = 1,050,152.83
  5. Step 5: Solve for x
    x = 1,050,152.83/871.72
  6. Step 6: Final answer
    x = 1,204.69

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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.