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Finding the Fourth Proportional to 713.84, 977.95 and 687.19

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Solution

The fourth proportional to 713.84, 977.95 and 687.19 is: 941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.84 : 977.95 = 687.19 : x
  2. Step 2: Convert to fraction form
    713.84/977.95 = 687.19/x
  3. Step 3: Cross multiply
    713.84x = 977.95 × 687.19
  4. Step 4: Simplify right side
    713.84x = 672,037.46
  5. Step 5: Solve for x
    x = 672,037.46/713.84
  6. Step 6: Final answer
    x = 941.44

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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.