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Finding the Fourth Proportional to 874.43, 1,312.10 and 566.20

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Solution

The fourth proportional to 874.43, 1,312.10 and 566.20 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.43 : 1,312.10 = 566.20 : x
  2. Step 2: Convert to fraction form
    874.43/1,312.10 = 566.20/x
  3. Step 3: Cross multiply
    874.43x = 1,312.10 × 566.20
  4. Step 4: Simplify right side
    874.43x = 742,911.02
  5. Step 5: Solve for x
    x = 742,911.02/874.43
  6. Step 6: Final answer
    x = 849.59

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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.