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Finding the Fourth Proportional to 543.36, 811.20 and 470.88

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Solution

The fourth proportional to 543.36, 811.20 and 470.88 is: 702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 811.20 = 470.88 : x
  2. Step 2: Convert to fraction form
    543.36/811.20 = 470.88/x
  3. Step 3: Cross multiply
    543.36x = 811.20 × 470.88
  4. Step 4: Simplify right side
    543.36x = 381,977.86
  5. Step 5: Solve for x
    x = 381,977.86/543.36
  6. Step 6: Final answer
    x = 702.99

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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.