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Finding the Fourth Proportional to 461.12, 632.50 and 433.16

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Solution

The fourth proportional to 461.12, 632.50 and 433.16 is: 594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 632.50 = 433.16 : x
  2. Step 2: Convert to fraction form
    461.12/632.50 = 433.16/x
  3. Step 3: Cross multiply
    461.12x = 632.50 × 433.16
  4. Step 4: Simplify right side
    461.12x = 273,973.70
  5. Step 5: Solve for x
    x = 273,973.70/461.12
  6. Step 6: Final answer
    x = 594.15

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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.