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Finding the Fourth Proportional to 832.08, 1,148.18 and 478.04

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Solution

The fourth proportional to 832.08, 1,148.18 and 478.04 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.08 : 1,148.18 = 478.04 : x
  2. Step 2: Convert to fraction form
    832.08/1,148.18 = 478.04/x
  3. Step 3: Cross multiply
    832.08x = 1,148.18 × 478.04
  4. Step 4: Simplify right side
    832.08x = 548,875.97
  5. Step 5: Solve for x
    x = 548,875.97/832.08
  6. Step 6: Final answer
    x = 659.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.