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Finding the Fourth Proportional to 1,439.59, 2,159.59 and 514.95

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Solution

The fourth proportional to 1,439.59, 2,159.59 and 514.95 is: 772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.59 : 2,159.59 = 514.95 : x
  2. Step 2: Convert to fraction form
    1,439.59/2,159.59 = 514.95/x
  3. Step 3: Cross multiply
    1,439.59x = 2,159.59 × 514.95
  4. Step 4: Simplify right side
    1,439.59x = 1,112,080.87
  5. Step 5: Solve for x
    x = 1,112,080.87/1,439.59
  6. Step 6: Final answer
    x = 772.50

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1.5x scale

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.