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Finding the Fourth Proportional to 410.13, 564.71 and 347.76

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Solution

The fourth proportional to 410.13, 564.71 and 347.76 is: 478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 564.71 = 347.76 : x
  2. Step 2: Convert to fraction form
    410.13/564.71 = 347.76/x
  3. Step 3: Cross multiply
    410.13x = 564.71 × 347.76
  4. Step 4: Simplify right side
    410.13x = 196,381.81
  5. Step 5: Solve for x
    x = 196,381.81/410.13
  6. Step 6: Final answer
    x = 478.83

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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.