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Finding the Fourth Proportional to 488.95, 674.97 and 312.15

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Solution

The fourth proportional to 488.95, 674.97 and 312.15 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.95 : 674.97 = 312.15 : x
  2. Step 2: Convert to fraction form
    488.95/674.97 = 312.15/x
  3. Step 3: Cross multiply
    488.95x = 674.97 × 312.15
  4. Step 4: Simplify right side
    488.95x = 210,689.94
  5. Step 5: Solve for x
    x = 210,689.94/488.95
  6. Step 6: Final answer
    x = 430.90

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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.