Home / 1,531.86-2,298.08-557.83

Finding the Fourth Proportional to 1,531.86, 2,298.08 and 557.83

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Solution

The fourth proportional to 1,531.86, 2,298.08 and 557.83 is: 836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.86 : 2,298.08 = 557.83 : x
  2. Step 2: Convert to fraction form
    1,531.86/2,298.08 = 557.83/x
  3. Step 3: Cross multiply
    1,531.86x = 2,298.08 × 557.83
  4. Step 4: Simplify right side
    1,531.86x = 1,281,937.97
  5. Step 5: Solve for x
    x = 1,281,937.97/1,531.86
  6. Step 6: Final answer
    x = 836.85

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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.