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Finding the Fourth Proportional to 937.26, 1,405.08 and 547.65

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Solution

The fourth proportional to 937.26, 1,405.08 and 547.65 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.26 : 1,405.08 = 547.65 : x
  2. Step 2: Convert to fraction form
    937.26/1,405.08 = 547.65/x
  3. Step 3: Cross multiply
    937.26x = 1,405.08 × 547.65
  4. Step 4: Simplify right side
    937.26x = 769,492.06
  5. Step 5: Solve for x
    x = 769,492.06/937.26
  6. Step 6: Final answer
    x = 821.00

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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.