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Finding the Fourth Proportional to 487.46, 672.43 and 312.50

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Solution

The fourth proportional to 487.46, 672.43 and 312.50 is: 431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.46 : 672.43 = 312.50 : x
  2. Step 2: Convert to fraction form
    487.46/672.43 = 312.50/x
  3. Step 3: Cross multiply
    487.46x = 672.43 × 312.50
  4. Step 4: Simplify right side
    487.46x = 210,134.38
  5. Step 5: Solve for x
    x = 210,134.38/487.46
  6. Step 6: Final answer
    x = 431.08

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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.