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Finding the Fourth Proportional to 457.96, 632.34 and 457.05

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Solution

The fourth proportional to 457.96, 632.34 and 457.05 is: 631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.96 : 632.34 = 457.05 : x
  2. Step 2: Convert to fraction form
    457.96/632.34 = 457.05/x
  3. Step 3: Cross multiply
    457.96x = 632.34 × 457.05
  4. Step 4: Simplify right side
    457.96x = 289,011.00
  5. Step 5: Solve for x
    x = 289,011.00/457.96
  6. Step 6: Final answer
    x = 631.08

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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.