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Finding the Fourth Proportional to 962.87, 1,329.51 and 716.83

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Solution

The fourth proportional to 962.87, 1,329.51 and 716.83 is: 989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.87 : 1,329.51 = 716.83 : x
  2. Step 2: Convert to fraction form
    962.87/1,329.51 = 716.83/x
  3. Step 3: Cross multiply
    962.87x = 1,329.51 × 716.83
  4. Step 4: Simplify right side
    962.87x = 953,032.02
  5. Step 5: Solve for x
    x = 953,032.02/962.87
  6. Step 6: Final answer
    x = 989.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.