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Finding the Fourth Proportional to 669.84, 1,010.94 and 652.56

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Solution

The fourth proportional to 669.84, 1,010.94 and 652.56 is: 984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.84 : 1,010.94 = 652.56 : x
  2. Step 2: Convert to fraction form
    669.84/1,010.94 = 652.56/x
  3. Step 3: Cross multiply
    669.84x = 1,010.94 × 652.56
  4. Step 4: Simplify right side
    669.84x = 659,699.01
  5. Step 5: Solve for x
    x = 659,699.01/669.84
  6. Step 6: Final answer
    x = 984.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.