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Finding the Fourth Proportional to 760.42, 1,140.79 and 240.57

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Solution

The fourth proportional to 760.42, 1,140.79 and 240.57 is: 360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.42 : 1,140.79 = 240.57 : x
  2. Step 2: Convert to fraction form
    760.42/1,140.79 = 240.57/x
  3. Step 3: Cross multiply
    760.42x = 1,140.79 × 240.57
  4. Step 4: Simplify right side
    760.42x = 274,439.25
  5. Step 5: Solve for x
    x = 274,439.25/760.42
  6. Step 6: Final answer
    x = 360.91

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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.