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Finding the Fourth Proportional to 937.04, 1,405.86 and 547.50

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Solution

The fourth proportional to 937.04, 1,405.86 and 547.50 is: 821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.04 : 1,405.86 = 547.50 : x
  2. Step 2: Convert to fraction form
    937.04/1,405.86 = 547.50/x
  3. Step 3: Cross multiply
    937.04x = 1,405.86 × 547.50
  4. Step 4: Simplify right side
    937.04x = 769,708.35
  5. Step 5: Solve for x
    x = 769,708.35/937.04
  6. Step 6: Final answer
    x = 821.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.