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Finding the Fourth Proportional to 543.08, 744.61 and 515.24

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Solution

The fourth proportional to 543.08, 744.61 and 515.24 is: 706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.08 : 744.61 = 515.24 : x
  2. Step 2: Convert to fraction form
    543.08/744.61 = 515.24/x
  3. Step 3: Cross multiply
    543.08x = 744.61 × 515.24
  4. Step 4: Simplify right side
    543.08x = 383,652.86
  5. Step 5: Solve for x
    x = 383,652.86/543.08
  6. Step 6: Final answer
    x = 706.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.