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Finding the Fourth Proportional to 1,149.63, 1,721.76 and 840.71

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Solution

The fourth proportional to 1,149.63, 1,721.76 and 840.71 is: 1,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.63 : 1,721.76 = 840.71 : x
  2. Step 2: Convert to fraction form
    1,149.63/1,721.76 = 840.71/x
  3. Step 3: Cross multiply
    1,149.63x = 1,721.76 × 840.71
  4. Step 4: Simplify right side
    1,149.63x = 1,447,492.24
  5. Step 5: Solve for x
    x = 1,447,492.24/1,149.63
  6. Step 6: Final answer
    x = 1,259.09

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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.