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Finding the Fourth Proportional to 1,426.39, 2,139.72 and 560.50

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Solution

The fourth proportional to 1,426.39, 2,139.72 and 560.50 is: 840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.39 : 2,139.72 = 560.50 : x
  2. Step 2: Convert to fraction form
    1,426.39/2,139.72 = 560.50/x
  3. Step 3: Cross multiply
    1,426.39x = 2,139.72 × 560.50
  4. Step 4: Simplify right side
    1,426.39x = 1,199,313.06
  5. Step 5: Solve for x
    x = 1,199,313.06/1,426.39
  6. Step 6: Final answer
    x = 840.80

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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.