Home / 1,432.60-2,148.99-459.40

Finding the Fourth Proportional to 1,432.60, 2,148.99 and 459.40

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Solution

The fourth proportional to 1,432.60, 2,148.99 and 459.40 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.60 : 2,148.99 = 459.40 : x
  2. Step 2: Convert to fraction form
    1,432.60/2,148.99 = 459.40/x
  3. Step 3: Cross multiply
    1,432.60x = 2,148.99 × 459.40
  4. Step 4: Simplify right side
    1,432.60x = 987,246.01
  5. Step 5: Solve for x
    x = 987,246.01/1,432.60
  6. Step 6: Final answer
    x = 689.13

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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.