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Finding the Fourth Proportional to 760.25, 1,139.84 and 389.14

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Solution

The fourth proportional to 760.25, 1,139.84 and 389.14 is: 583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.25 : 1,139.84 = 389.14 : x
  2. Step 2: Convert to fraction form
    760.25/1,139.84 = 389.14/x
  3. Step 3: Cross multiply
    760.25x = 1,139.84 × 389.14
  4. Step 4: Simplify right side
    760.25x = 443,552.54
  5. Step 5: Solve for x
    x = 443,552.54/760.25
  6. Step 6: Final answer
    x = 583.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.