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Finding the Fourth Proportional to 832.14, 1,148.39 and 478.18

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Solution

The fourth proportional to 832.14, 1,148.39 and 478.18 is: 659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,148.39 = 478.18 : x
  2. Step 2: Convert to fraction form
    832.14/1,148.39 = 478.18/x
  3. Step 3: Cross multiply
    832.14x = 1,148.39 × 478.18
  4. Step 4: Simplify right side
    832.14x = 549,136.92
  5. Step 5: Solve for x
    x = 549,136.92/832.14
  6. Step 6: Final answer
    x = 659.91

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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.