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Finding the Fourth Proportional to 521.60, 781.12 and 350.08

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Solution

The fourth proportional to 521.60, 781.12 and 350.08 is: 524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.60 : 781.12 = 350.08 : x
  2. Step 2: Convert to fraction form
    521.60/781.12 = 350.08/x
  3. Step 3: Cross multiply
    521.60x = 781.12 × 350.08
  4. Step 4: Simplify right side
    521.60x = 273,454.49
  5. Step 5: Solve for x
    x = 273,454.49/521.60
  6. Step 6: Final answer
    x = 524.26

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