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Finding the Fourth Proportional to 874.39, 1,312.34 and 463.82

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Solution

The fourth proportional to 874.39, 1,312.34 and 463.82 is: 696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.39 : 1,312.34 = 463.82 : x
  2. Step 2: Convert to fraction form
    874.39/1,312.34 = 463.82/x
  3. Step 3: Cross multiply
    874.39x = 1,312.34 × 463.82
  4. Step 4: Simplify right side
    874.39x = 608,689.54
  5. Step 5: Solve for x
    x = 608,689.54/874.39
  6. Step 6: Final answer
    x = 696.13

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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.