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Finding the Fourth Proportional to 460.15, 685.86 and 425.04

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Solution

The fourth proportional to 460.15, 685.86 and 425.04 is: 633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.15 : 685.86 = 425.04 : x
  2. Step 2: Convert to fraction form
    460.15/685.86 = 425.04/x
  3. Step 3: Cross multiply
    460.15x = 685.86 × 425.04
  4. Step 4: Simplify right side
    460.15x = 291,513.77
  5. Step 5: Solve for x
    x = 291,513.77/460.15
  6. Step 6: Final answer
    x = 633.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.