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Finding the Fourth Proportional to 760.47, 1,139.67 and 394.50

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Solution

The fourth proportional to 760.47, 1,139.67 and 394.50 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.47 : 1,139.67 = 394.50 : x
  2. Step 2: Convert to fraction form
    760.47/1,139.67 = 394.50/x
  3. Step 3: Cross multiply
    760.47x = 1,139.67 × 394.50
  4. Step 4: Simplify right side
    760.47x = 449,599.82
  5. Step 5: Solve for x
    x = 449,599.82/760.47
  6. Step 6: Final answer
    x = 591.21

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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.