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Finding the Fourth Proportional to 1,310.84, 1,966.46 and 652.74

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Solution

The fourth proportional to 1,310.84, 1,966.46 and 652.74 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.84 : 1,966.46 = 652.74 : x
  2. Step 2: Convert to fraction form
    1,310.84/1,966.46 = 652.74/x
  3. Step 3: Cross multiply
    1,310.84x = 1,966.46 × 652.74
  4. Step 4: Simplify right side
    1,310.84x = 1,283,583.84
  5. Step 5: Solve for x
    x = 1,283,583.84/1,310.84
  6. Step 6: Final answer
    x = 979.21

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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.