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Finding the Fourth Proportional to 1,254.58, 1,730.89 and 730.78

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Solution

The fourth proportional to 1,254.58, 1,730.89 and 730.78 is: 1,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.58 : 1,730.89 = 730.78 : x
  2. Step 2: Convert to fraction form
    1,254.58/1,730.89 = 730.78/x
  3. Step 3: Cross multiply
    1,254.58x = 1,730.89 × 730.78
  4. Step 4: Simplify right side
    1,254.58x = 1,264,899.79
  5. Step 5: Solve for x
    x = 1,264,899.79/1,254.58
  6. Step 6: Final answer
    x = 1,008.23

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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.