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Finding the Fourth Proportional to 1,254.62, 1,730.98 and 730.55

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Solution

The fourth proportional to 1,254.62, 1,730.98 and 730.55 is: 1,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.62 : 1,730.98 = 730.55 : x
  2. Step 2: Convert to fraction form
    1,254.62/1,730.98 = 730.55/x
  3. Step 3: Cross multiply
    1,254.62x = 1,730.98 × 730.55
  4. Step 4: Simplify right side
    1,254.62x = 1,264,567.44
  5. Step 5: Solve for x
    x = 1,264,567.44/1,254.62
  6. Step 6: Final answer
    x = 1,007.93

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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.