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Finding the Fourth Proportional to 832.40, 1,247.52 and 558.08

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Solution

The fourth proportional to 832.40, 1,247.52 and 558.08 is: 836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.40 : 1,247.52 = 558.08 : x
  2. Step 2: Convert to fraction form
    832.40/1,247.52 = 558.08/x
  3. Step 3: Cross multiply
    832.40x = 1,247.52 × 558.08
  4. Step 4: Simplify right side
    832.40x = 696,215.96
  5. Step 5: Solve for x
    x = 696,215.96/832.40
  6. Step 6: Final answer
    x = 836.40

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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.