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Finding the Fourth Proportional to 874.46, 1,312.15 and 566.23

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Solution

The fourth proportional to 874.46, 1,312.15 and 566.23 is: 849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,312.15 = 566.23 : x
  2. Step 2: Convert to fraction form
    874.46/1,312.15 = 566.23/x
  3. Step 3: Cross multiply
    874.46x = 1,312.15 × 566.23
  4. Step 4: Simplify right side
    874.46x = 742,980.56
  5. Step 5: Solve for x
    x = 742,980.56/874.46
  6. Step 6: Final answer
    x = 849.64

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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.