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Finding the Fourth Proportional to 457.68, 631.86 and 289.86

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Solution

The fourth proportional to 457.68, 631.86 and 289.86 is: 400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.68 : 631.86 = 289.86 : x
  2. Step 2: Convert to fraction form
    457.68/631.86 = 289.86/x
  3. Step 3: Cross multiply
    457.68x = 631.86 × 289.86
  4. Step 4: Simplify right side
    457.68x = 183,150.94
  5. Step 5: Solve for x
    x = 183,150.94/457.68
  6. Step 6: Final answer
    x = 400.17

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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.