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Finding the Fourth Proportional to 1,254.05, 1,730.61 and 782.14

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Solution

The fourth proportional to 1,254.05, 1,730.61 and 782.14 is: 1,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.05 : 1,730.61 = 782.14 : x
  2. Step 2: Convert to fraction form
    1,254.05/1,730.61 = 782.14/x
  3. Step 3: Cross multiply
    1,254.05x = 1,730.61 × 782.14
  4. Step 4: Simplify right side
    1,254.05x = 1,353,566.74
  5. Step 5: Solve for x
    x = 1,353,566.74/1,254.05
  6. Step 6: Final answer
    x = 1,079.36

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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.