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Finding the Fourth Proportional to 543.18, 812.83 and 470.31

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Solution

The fourth proportional to 543.18, 812.83 and 470.31 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.18 : 812.83 = 470.31 : x
  2. Step 2: Convert to fraction form
    543.18/812.83 = 470.31/x
  3. Step 3: Cross multiply
    543.18x = 812.83 × 470.31
  4. Step 4: Simplify right side
    543.18x = 382,281.83
  5. Step 5: Solve for x
    x = 382,281.83/543.18
  6. Step 6: Final answer
    x = 703.78

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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.