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Finding the Fourth Proportional to 832.29, 1,148.72 and 478.42

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Solution

The fourth proportional to 832.29, 1,148.72 and 478.42 is: 660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.29 : 1,148.72 = 478.42 : x
  2. Step 2: Convert to fraction form
    832.29/1,148.72 = 478.42/x
  3. Step 3: Cross multiply
    832.29x = 1,148.72 × 478.42
  4. Step 4: Simplify right side
    832.29x = 549,570.62
  5. Step 5: Solve for x
    x = 549,570.62/832.29
  6. Step 6: Final answer
    x = 660.31

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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.