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Finding the Fourth Proportional to 543.50, 750.51 and 410.48

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Solution

The fourth proportional to 543.50, 750.51 and 410.48 is: 566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 750.51 = 410.48 : x
  2. Step 2: Convert to fraction form
    543.50/750.51 = 410.48/x
  3. Step 3: Cross multiply
    543.50x = 750.51 × 410.48
  4. Step 4: Simplify right side
    543.50x = 308,069.34
  5. Step 5: Solve for x
    x = 308,069.34/543.50
  6. Step 6: Final answer
    x = 566.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.