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Finding the Fourth Proportional to 560.60, 772.52 and 412.97

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Solution

The fourth proportional to 560.60, 772.52 and 412.97 is: 569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.60 : 772.52 = 412.97 : x
  2. Step 2: Convert to fraction form
    560.60/772.52 = 412.97/x
  3. Step 3: Cross multiply
    560.60x = 772.52 × 412.97
  4. Step 4: Simplify right side
    560.60x = 319,030.55
  5. Step 5: Solve for x
    x = 319,030.55/560.60
  6. Step 6: Final answer
    x = 569.09

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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.