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Finding the Fourth Proportional to 1,253.20, 1,878.30 and 558.40

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Solution

The fourth proportional to 1,253.20, 1,878.30 and 558.40 is: 836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.20 : 1,878.30 = 558.40 : x
  2. Step 2: Convert to fraction form
    1,253.20/1,878.30 = 558.40/x
  3. Step 3: Cross multiply
    1,253.20x = 1,878.30 × 558.40
  4. Step 4: Simplify right side
    1,253.20x = 1,048,842.72
  5. Step 5: Solve for x
    x = 1,048,842.72/1,253.20
  6. Step 6: Final answer
    x = 836.93

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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.