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Finding the Fourth Proportional to 410.52, 617.06 and 357.08

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Solution

The fourth proportional to 410.52, 617.06 and 357.08 is: 536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 617.06 = 357.08 : x
  2. Step 2: Convert to fraction form
    410.52/617.06 = 357.08/x
  3. Step 3: Cross multiply
    410.52x = 617.06 × 357.08
  4. Step 4: Simplify right side
    410.52x = 220,339.78
  5. Step 5: Solve for x
    x = 220,339.78/410.52
  6. Step 6: Final answer
    x = 536.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.