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Finding the Fourth Proportional to 862.96, 1,294.48 and 498.08

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Solution

The fourth proportional to 862.96, 1,294.48 and 498.08 is: 747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,294.48 = 498.08 : x
  2. Step 2: Convert to fraction form
    862.96/1,294.48 = 498.08/x
  3. Step 3: Cross multiply
    862.96x = 1,294.48 × 498.08
  4. Step 4: Simplify right side
    862.96x = 644,754.60
  5. Step 5: Solve for x
    x = 644,754.60/862.96
  6. Step 6: Final answer
    x = 747.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.