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Finding the Fourth Proportional to 417.80, 575.78 and 312.70

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Solution

The fourth proportional to 417.80, 575.78 and 312.70 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.80 : 575.78 = 312.70 : x
  2. Step 2: Convert to fraction form
    417.80/575.78 = 312.70/x
  3. Step 3: Cross multiply
    417.80x = 575.78 × 312.70
  4. Step 4: Simplify right side
    417.80x = 180,046.41
  5. Step 5: Solve for x
    x = 180,046.41/417.80
  6. Step 6: Final answer
    x = 430.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.