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Finding the Fourth Proportional to 543.66, 811.97 and 470.76

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Solution

The fourth proportional to 543.66, 811.97 and 470.76 is: 703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.66 : 811.97 = 470.76 : x
  2. Step 2: Convert to fraction form
    543.66/811.97 = 470.76/x
  3. Step 3: Cross multiply
    543.66x = 811.97 × 470.76
  4. Step 4: Simplify right side
    543.66x = 382,240.64
  5. Step 5: Solve for x
    x = 382,240.64/543.66
  6. Step 6: Final answer
    x = 703.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.