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Finding the Fourth Proportional to 1,256.10, 1,734.20 and 784.30

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Solution

The fourth proportional to 1,256.10, 1,734.20 and 784.30 is: 1,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.10 : 1,734.20 = 784.30 : x
  2. Step 2: Convert to fraction form
    1,256.10/1,734.20 = 784.30/x
  3. Step 3: Cross multiply
    1,256.10x = 1,734.20 × 784.30
  4. Step 4: Simplify right side
    1,256.10x = 1,360,133.06
  5. Step 5: Solve for x
    x = 1,360,133.06/1,256.10
  6. Step 6: Final answer
    x = 1,082.82

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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.