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Finding the Fourth Proportional to 487.56, 672.72 and 312.96

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Solution

The fourth proportional to 487.56, 672.72 and 312.96 is: 431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.56 : 672.72 = 312.96 : x
  2. Step 2: Convert to fraction form
    487.56/672.72 = 312.96/x
  3. Step 3: Cross multiply
    487.56x = 672.72 × 312.96
  4. Step 4: Simplify right side
    487.56x = 210,534.45
  5. Step 5: Solve for x
    x = 210,534.45/487.56
  6. Step 6: Final answer
    x = 431.81

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