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Finding the Fourth Proportional to 457.48, 632.31 and 404.65

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Solution

The fourth proportional to 457.48, 632.31 and 404.65 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 632.31 = 404.65 : x
  2. Step 2: Convert to fraction form
    457.48/632.31 = 404.65/x
  3. Step 3: Cross multiply
    457.48x = 632.31 × 404.65
  4. Step 4: Simplify right side
    457.48x = 255,864.24
  5. Step 5: Solve for x
    x = 255,864.24/457.48
  6. Step 6: Final answer
    x = 559.29

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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.