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Finding the Fourth Proportional to 712.84, 976.58 and 686.19

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Solution

The fourth proportional to 712.84, 976.58 and 686.19 is: 940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 976.58 = 686.19 : x
  2. Step 2: Convert to fraction form
    712.84/976.58 = 686.19/x
  3. Step 3: Cross multiply
    712.84x = 976.58 × 686.19
  4. Step 4: Simplify right side
    712.84x = 670,116.90
  5. Step 5: Solve for x
    x = 670,116.90/712.84
  6. Step 6: Final answer
    x = 940.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.