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Finding the Fourth Proportional to 840.44, 1,159.80 and 545.70

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Solution

The fourth proportional to 840.44, 1,159.80 and 545.70 is: 753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.44 : 1,159.80 = 545.70 : x
  2. Step 2: Convert to fraction form
    840.44/1,159.80 = 545.70/x
  3. Step 3: Cross multiply
    840.44x = 1,159.80 × 545.70
  4. Step 4: Simplify right side
    840.44x = 632,902.86
  5. Step 5: Solve for x
    x = 632,902.86/840.44
  6. Step 6: Final answer
    x = 753.06

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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.