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Finding the Fourth Proportional to 543.54, 811.78 and 470.64

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Solution

The fourth proportional to 543.54, 811.78 and 470.64 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.54 : 811.78 = 470.64 : x
  2. Step 2: Convert to fraction form
    543.54/811.78 = 470.64/x
  3. Step 3: Cross multiply
    543.54x = 811.78 × 470.64
  4. Step 4: Simplify right side
    543.54x = 382,056.14
  5. Step 5: Solve for x
    x = 382,056.14/543.54
  6. Step 6: Final answer
    x = 702.90

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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.