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Finding the Fourth Proportional to 460.18, 632.41 and 438.77

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Solution

The fourth proportional to 460.18, 632.41 and 438.77 is: 602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 632.41 = 438.77 : x
  2. Step 2: Convert to fraction form
    460.18/632.41 = 438.77/x
  3. Step 3: Cross multiply
    460.18x = 632.41 × 438.77
  4. Step 4: Simplify right side
    460.18x = 277,479.46
  5. Step 5: Solve for x
    x = 277,479.46/460.18
  6. Step 6: Final answer
    x = 602.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.