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Finding the Fourth Proportional to 459.80, 689.28 and 337.90

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Solution

The fourth proportional to 459.80, 689.28 and 337.90 is: 506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.80 : 689.28 = 337.90 : x
  2. Step 2: Convert to fraction form
    459.80/689.28 = 337.90/x
  3. Step 3: Cross multiply
    459.80x = 689.28 × 337.90
  4. Step 4: Simplify right side
    459.80x = 232,907.71
  5. Step 5: Solve for x
    x = 232,907.71/459.80
  6. Step 6: Final answer
    x = 506.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.