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Finding the Fourth Proportional to 732, 1,098.36 and 366.81

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Solution

The fourth proportional to 732, 1,098.36 and 366.81 is: 550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732 : 1,098.36 = 366.81 : x
  2. Step 2: Convert to fraction form
    732/1,098.36 = 366.81/x
  3. Step 3: Cross multiply
    732x = 1,098.36 × 366.81
  4. Step 4: Simplify right side
    732x = 402,889.43
  5. Step 5: Solve for x
    x = 402,889.43/732
  6. Step 6: Final answer
    x = 550.40

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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.