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Finding the Fourth Proportional to 410.60, 575.20 and 410.60

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Solution

The fourth proportional to 410.60, 575.20 and 410.60 is: 575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 575.20 = 410.60 : x
  2. Step 2: Convert to fraction form
    410.60/575.20 = 410.60/x
  3. Step 3: Cross multiply
    410.60x = 575.20 × 410.60
  4. Step 4: Simplify right side
    410.60x = 236,177.12
  5. Step 5: Solve for x
    x = 236,177.12/410.60
  6. Step 6: Final answer
    x = 575.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.