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Finding the Fourth Proportional to 1,245.84, 1,719.28 and 686.34

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Solution

The fourth proportional to 1,245.84, 1,719.28 and 686.34 is: 947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.84 : 1,719.28 = 686.34 : x
  2. Step 2: Convert to fraction form
    1,245.84/1,719.28 = 686.34/x
  3. Step 3: Cross multiply
    1,245.84x = 1,719.28 × 686.34
  4. Step 4: Simplify right side
    1,245.84x = 1,179,998.61
  5. Step 5: Solve for x
    x = 1,179,998.61/1,245.84
  6. Step 6: Final answer
    x = 947.15

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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.