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Finding the Fourth Proportional to 759.92, 1,138.65 and 553.53

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Solution

The fourth proportional to 759.92, 1,138.65 and 553.53 is: 829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.92 : 1,138.65 = 553.53 : x
  2. Step 2: Convert to fraction form
    759.92/1,138.65 = 553.53/x
  3. Step 3: Cross multiply
    759.92x = 1,138.65 × 553.53
  4. Step 4: Simplify right side
    759.92x = 630,276.93
  5. Step 5: Solve for x
    x = 630,276.93/759.92
  6. Step 6: Final answer
    x = 829.40

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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.