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Finding the Fourth Proportional to 1,052.13, 1,577.57 and 358.60

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Solution

The fourth proportional to 1,052.13, 1,577.57 and 358.60 is: 537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.13 : 1,577.57 = 358.60 : x
  2. Step 2: Convert to fraction form
    1,052.13/1,577.57 = 358.60/x
  3. Step 3: Cross multiply
    1,052.13x = 1,577.57 × 358.60
  4. Step 4: Simplify right side
    1,052.13x = 565,716.60
  5. Step 5: Solve for x
    x = 565,716.60/1,052.13
  6. Step 6: Final answer
    x = 537.69

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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.