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Finding the Fourth Proportional to 543.80, 817.30 and 473.40

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Solution

The fourth proportional to 543.80, 817.30 and 473.40 is: 711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 817.30 = 473.40 : x
  2. Step 2: Convert to fraction form
    543.80/817.30 = 473.40/x
  3. Step 3: Cross multiply
    543.80x = 817.30 × 473.40
  4. Step 4: Simplify right side
    543.80x = 386,909.82
  5. Step 5: Solve for x
    x = 386,909.82/543.80
  6. Step 6: Final answer
    x = 711.49

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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.