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Finding the Fourth Proportional to 674.84, 1,005.63 and 652.82

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Solution

The fourth proportional to 674.84, 1,005.63 and 652.82 is: 972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 1,005.63 = 652.82 : x
  2. Step 2: Convert to fraction form
    674.84/1,005.63 = 652.82/x
  3. Step 3: Cross multiply
    674.84x = 1,005.63 × 652.82
  4. Step 4: Simplify right side
    674.84x = 656,495.38
  5. Step 5: Solve for x
    x = 656,495.38/674.84
  6. Step 6: Final answer
    x = 972.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.