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Finding the Fourth Proportional to 543.70, 718.17 and 543.70

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Solution

The fourth proportional to 543.70, 718.17 and 543.70 is: 718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.70 : 718.17 = 543.70 : x
  2. Step 2: Convert to fraction form
    543.70/718.17 = 543.70/x
  3. Step 3: Cross multiply
    543.70x = 718.17 × 543.70
  4. Step 4: Simplify right side
    543.70x = 390,469.03
  5. Step 5: Solve for x
    x = 390,469.03/543.70
  6. Step 6: Final answer
    x = 718.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.