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Finding the Fourth Proportional to 713.34, 977.26 and 686.69

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Solution

The fourth proportional to 713.34, 977.26 and 686.69 is: 940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.34 : 977.26 = 686.69 : x
  2. Step 2: Convert to fraction form
    713.34/977.26 = 686.69/x
  3. Step 3: Cross multiply
    713.34x = 977.26 × 686.69
  4. Step 4: Simplify right side
    713.34x = 671,074.67
  5. Step 5: Solve for x
    x = 671,074.67/713.34
  6. Step 6: Final answer
    x = 940.75

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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.