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Finding the Fourth Proportional to 841.10, 1,159.83 and 545.84

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Solution

The fourth proportional to 841.10, 1,159.83 and 545.84 is: 752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.10 : 1,159.83 = 545.84 : x
  2. Step 2: Convert to fraction form
    841.10/1,159.83 = 545.84/x
  3. Step 3: Cross multiply
    841.10x = 1,159.83 × 545.84
  4. Step 4: Simplify right side
    841.10x = 633,081.61
  5. Step 5: Solve for x
    x = 633,081.61/841.10
  6. Step 6: Final answer
    x = 752.68

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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.