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Finding the Fourth Proportional to 1,432.52, 1,976.58 and 842.92

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Solution

The fourth proportional to 1,432.52, 1,976.58 and 842.92 is: 1,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.52 : 1,976.58 = 842.92 : x
  2. Step 2: Convert to fraction form
    1,432.52/1,976.58 = 842.92/x
  3. Step 3: Cross multiply
    1,432.52x = 1,976.58 × 842.92
  4. Step 4: Simplify right side
    1,432.52x = 1,666,098.81
  5. Step 5: Solve for x
    x = 1,666,098.81/1,432.52
  6. Step 6: Final answer
    x = 1,163.05

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1.5x scale

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.