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Finding the Fourth Proportional to 744.50, 1,117.02 and 360.02

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Solution

The fourth proportional to 744.50, 1,117.02 and 360.02 is: 540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.50 : 1,117.02 = 360.02 : x
  2. Step 2: Convert to fraction form
    744.50/1,117.02 = 360.02/x
  3. Step 3: Cross multiply
    744.50x = 1,117.02 × 360.02
  4. Step 4: Simplify right side
    744.50x = 402,149.54
  5. Step 5: Solve for x
    x = 402,149.54/744.50
  6. Step 6: Final answer
    x = 540.16

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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.