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Finding the Fourth Proportional to 459.30, 685.62 and 425.46

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Solution

The fourth proportional to 459.30, 685.62 and 425.46 is: 635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 685.62 = 425.46 : x
  2. Step 2: Convert to fraction form
    459.30/685.62 = 425.46/x
  3. Step 3: Cross multiply
    459.30x = 685.62 × 425.46
  4. Step 4: Simplify right side
    459.30x = 291,703.89
  5. Step 5: Solve for x
    x = 291,703.89/459.30
  6. Step 6: Final answer
    x = 635.11

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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.