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Finding the Fourth Proportional to 631.16, 944.76 and 558.24

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Solution

The fourth proportional to 631.16, 944.76 and 558.24 is: 835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.16 : 944.76 = 558.24 : x
  2. Step 2: Convert to fraction form
    631.16/944.76 = 558.24/x
  3. Step 3: Cross multiply
    631.16x = 944.76 × 558.24
  4. Step 4: Simplify right side
    631.16x = 527,402.82
  5. Step 5: Solve for x
    x = 527,402.82/631.16
  6. Step 6: Final answer
    x = 835.61

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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.