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Finding the Fourth Proportional to 832.40, 1,148.92 and 552.50

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Solution

The fourth proportional to 832.40, 1,148.92 and 552.50 is: 762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.40 : 1,148.92 = 552.50 : x
  2. Step 2: Convert to fraction form
    832.40/1,148.92 = 552.50/x
  3. Step 3: Cross multiply
    832.40x = 1,148.92 × 552.50
  4. Step 4: Simplify right side
    832.40x = 634,778.30
  5. Step 5: Solve for x
    x = 634,778.30/832.40
  6. Step 6: Final answer
    x = 762.59

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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.