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Finding the Fourth Proportional to 840.41, 1,159.99 and 545.66

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Solution

The fourth proportional to 840.41, 1,159.99 and 545.66 is: 753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.41 : 1,159.99 = 545.66 : x
  2. Step 2: Convert to fraction form
    840.41/1,159.99 = 545.66/x
  3. Step 3: Cross multiply
    840.41x = 1,159.99 × 545.66
  4. Step 4: Simplify right side
    840.41x = 632,952.98
  5. Step 5: Solve for x
    x = 632,952.98/840.41
  6. Step 6: Final answer
    x = 753.15

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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.