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Finding the Fourth Proportional to 1,139.84, 1,706.88 and 652.04

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Solution

The fourth proportional to 1,139.84, 1,706.88 and 652.04 is: 976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.84 : 1,706.88 = 652.04 : x
  2. Step 2: Convert to fraction form
    1,139.84/1,706.88 = 652.04/x
  3. Step 3: Cross multiply
    1,139.84x = 1,706.88 × 652.04
  4. Step 4: Simplify right side
    1,139.84x = 1,112,954.04
  5. Step 5: Solve for x
    x = 1,112,954.04/1,139.84
  6. Step 6: Final answer
    x = 976.41

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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.