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Finding the Fourth Proportional to 731.88, 1,097.88 and 366.48

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Solution

The fourth proportional to 731.88, 1,097.88 and 366.48 is: 549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,097.88 = 366.48 : x
  2. Step 2: Convert to fraction form
    731.88/1,097.88 = 366.48/x
  3. Step 3: Cross multiply
    731.88x = 1,097.88 × 366.48
  4. Step 4: Simplify right side
    731.88x = 402,351.06
  5. Step 5: Solve for x
    x = 402,351.06/731.88
  6. Step 6: Final answer
    x = 549.75

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Half scale
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Double scale
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1.5x scale

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.