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Finding the Fourth Proportional to 840.38, 1,159.77 and 545.90

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Solution

The fourth proportional to 840.38, 1,159.77 and 545.90 is: 753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.38 : 1,159.77 = 545.90 : x
  2. Step 2: Convert to fraction form
    840.38/1,159.77 = 545.90/x
  3. Step 3: Cross multiply
    840.38x = 1,159.77 × 545.90
  4. Step 4: Simplify right side
    840.38x = 633,118.44
  5. Step 5: Solve for x
    x = 633,118.44/840.38
  6. Step 6: Final answer
    x = 753.37

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Double scale
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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.