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Finding the Fourth Proportional to 459.04, 685.21 and 425.20

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Solution

The fourth proportional to 459.04, 685.21 and 425.20 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.04 : 685.21 = 425.20 : x
  2. Step 2: Convert to fraction form
    459.04/685.21 = 425.20/x
  3. Step 3: Cross multiply
    459.04x = 685.21 × 425.20
  4. Step 4: Simplify right side
    459.04x = 291,351.29
  5. Step 5: Solve for x
    x = 291,351.29/459.04
  6. Step 6: Final answer
    x = 634.70

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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.