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Finding the Fourth Proportional to 415.71, 569.58 and 410.59

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Solution

The fourth proportional to 415.71, 569.58 and 410.59 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.71 : 569.58 = 410.59 : x
  2. Step 2: Convert to fraction form
    415.71/569.58 = 410.59/x
  3. Step 3: Cross multiply
    415.71x = 569.58 × 410.59
  4. Step 4: Simplify right side
    415.71x = 233,863.85
  5. Step 5: Solve for x
    x = 233,863.85/415.71
  6. Step 6: Final answer
    x = 562.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.