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Finding the Fourth Proportional to 410.07, 564.80 and 347.70

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Solution

The fourth proportional to 410.07, 564.80 and 347.70 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 564.80 = 347.70 : x
  2. Step 2: Convert to fraction form
    410.07/564.80 = 347.70/x
  3. Step 3: Cross multiply
    410.07x = 564.80 × 347.70
  4. Step 4: Simplify right side
    410.07x = 196,379.22
  5. Step 5: Solve for x
    x = 196,379.22/410.07
  6. Step 6: Final answer
    x = 478.89

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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.