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Finding the Fourth Proportional to 459.52, 633.90 and 394.18

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Solution

The fourth proportional to 459.52, 633.90 and 394.18 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 633.90 = 394.18 : x
  2. Step 2: Convert to fraction form
    459.52/633.90 = 394.18/x
  3. Step 3: Cross multiply
    459.52x = 633.90 × 394.18
  4. Step 4: Simplify right side
    459.52x = 249,870.70
  5. Step 5: Solve for x
    x = 249,870.70/459.52
  6. Step 6: Final answer
    x = 543.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.