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Finding the Fourth Proportional to 832.28, 1,148.40 and 478.21

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Solution

The fourth proportional to 832.28, 1,148.40 and 478.21 is: 659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.28 : 1,148.40 = 478.21 : x
  2. Step 2: Convert to fraction form
    832.28/1,148.40 = 478.21/x
  3. Step 3: Cross multiply
    832.28x = 1,148.40 × 478.21
  4. Step 4: Simplify right side
    832.28x = 549,183.25
  5. Step 5: Solve for x
    x = 549,183.25/832.28
  6. Step 6: Final answer
    x = 659.86

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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.