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Finding the Fourth Proportional to 566.46, 781.32 and 370.20

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Solution

The fourth proportional to 566.46, 781.32 and 370.20 is: 510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 781.32 = 370.20 : x
  2. Step 2: Convert to fraction form
    566.46/781.32 = 370.20/x
  3. Step 3: Cross multiply
    566.46x = 781.32 × 370.20
  4. Step 4: Simplify right side
    566.46x = 289,244.66
  5. Step 5: Solve for x
    x = 289,244.66/566.46
  6. Step 6: Final answer
    x = 510.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.