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Finding the Fourth Proportional to 459.44, 686.40 and 363.32

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Solution

The fourth proportional to 459.44, 686.40 and 363.32 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 686.40 = 363.32 : x
  2. Step 2: Convert to fraction form
    459.44/686.40 = 363.32/x
  3. Step 3: Cross multiply
    459.44x = 686.40 × 363.32
  4. Step 4: Simplify right side
    459.44x = 249,382.85
  5. Step 5: Solve for x
    x = 249,382.85/459.44
  6. Step 6: Final answer
    x = 542.80

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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.