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Finding the Fourth Proportional to 410.72, 566.48 and 385.52

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Solution

The fourth proportional to 410.72, 566.48 and 385.52 is: 531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 566.48 = 385.52 : x
  2. Step 2: Convert to fraction form
    410.72/566.48 = 385.52/x
  3. Step 3: Cross multiply
    410.72x = 566.48 × 385.52
  4. Step 4: Simplify right side
    410.72x = 218,389.37
  5. Step 5: Solve for x
    x = 218,389.37/410.72
  6. Step 6: Final answer
    x = 531.72

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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.