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Finding the Fourth Proportional to 543.74, 815.78 and 312.80

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Solution

The fourth proportional to 543.74, 815.78 and 312.80 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.74 : 815.78 = 312.80 : x
  2. Step 2: Convert to fraction form
    543.74/815.78 = 312.80/x
  3. Step 3: Cross multiply
    543.74x = 815.78 × 312.80
  4. Step 4: Simplify right side
    543.74x = 255,174.59
  5. Step 5: Solve for x
    x = 255,174.59/543.74
  6. Step 6: Final answer
    x = 469.29

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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.