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Finding the Fourth Proportional to 1,152.52, 1,590.28 and 778.92

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Solution

The fourth proportional to 1,152.52, 1,590.28 and 778.92 is: 1,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.52 : 1,590.28 = 778.92 : x
  2. Step 2: Convert to fraction form
    1,152.52/1,590.28 = 778.92/x
  3. Step 3: Cross multiply
    1,152.52x = 1,590.28 × 778.92
  4. Step 4: Simplify right side
    1,152.52x = 1,238,700.90
  5. Step 5: Solve for x
    x = 1,238,700.90/1,152.52
  6. Step 6: Final answer
    x = 1,074.78

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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.