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Finding the Fourth Proportional to 760.13, 1,139.48 and 327.59

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Solution

The fourth proportional to 760.13, 1,139.48 and 327.59 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.13 : 1,139.48 = 327.59 : x
  2. Step 2: Convert to fraction form
    760.13/1,139.48 = 327.59/x
  3. Step 3: Cross multiply
    760.13x = 1,139.48 × 327.59
  4. Step 4: Simplify right side
    760.13x = 373,280.62
  5. Step 5: Solve for x
    x = 373,280.62/760.13
  6. Step 6: Final answer
    x = 491.07

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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.