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Finding the Fourth Proportional to 1,264.10, 1,747.05 and 1,264.10

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Solution

The fourth proportional to 1,264.10, 1,747.05 and 1,264.10 is: 1,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.10 : 1,747.05 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    1,264.10/1,747.05 = 1,264.10/x
  3. Step 3: Cross multiply
    1,264.10x = 1,747.05 × 1,264.10
  4. Step 4: Simplify right side
    1,264.10x = 2,208,445.91
  5. Step 5: Solve for x
    x = 2,208,445.91/1,264.10
  6. Step 6: Final answer
    x = 1,747.05

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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.