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Finding the Fourth Proportional to 716.84, 1,066.13 and 709.16

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Solution

The fourth proportional to 716.84, 1,066.13 and 709.16 is: 1,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,066.13 = 709.16 : x
  2. Step 2: Convert to fraction form
    716.84/1,066.13 = 709.16/x
  3. Step 3: Cross multiply
    716.84x = 1,066.13 × 709.16
  4. Step 4: Simplify right side
    716.84x = 756,056.75
  5. Step 5: Solve for x
    x = 756,056.75/716.84
  6. Step 6: Final answer
    x = 1,054.71

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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.