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Finding the Fourth Proportional to 1,257.66, 1,734.89 and 760.05

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Solution

The fourth proportional to 1,257.66, 1,734.89 and 760.05 is: 1,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.66 : 1,734.89 = 760.05 : x
  2. Step 2: Convert to fraction form
    1,257.66/1,734.89 = 760.05/x
  3. Step 3: Cross multiply
    1,257.66x = 1,734.89 × 760.05
  4. Step 4: Simplify right side
    1,257.66x = 1,318,599.34
  5. Step 5: Solve for x
    x = 1,318,599.34/1,257.66
  6. Step 6: Final answer
    x = 1,048.45

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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.