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Finding the Fourth Proportional to 1,337.28, 1,846.62 and 840.75

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Solution

The fourth proportional to 1,337.28, 1,846.62 and 840.75 is: 1,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.28 : 1,846.62 = 840.75 : x
  2. Step 2: Convert to fraction form
    1,337.28/1,846.62 = 840.75/x
  3. Step 3: Cross multiply
    1,337.28x = 1,846.62 × 840.75
  4. Step 4: Simplify right side
    1,337.28x = 1,552,545.77
  5. Step 5: Solve for x
    x = 1,552,545.77/1,337.28
  6. Step 6: Final answer
    x = 1,160.97

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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.