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Finding the Fourth Proportional to 760.74, 1,140.95 and 240.65

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Solution

The fourth proportional to 760.74, 1,140.95 and 240.65 is: 360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.74 : 1,140.95 = 240.65 : x
  2. Step 2: Convert to fraction form
    760.74/1,140.95 = 240.65/x
  3. Step 3: Cross multiply
    760.74x = 1,140.95 × 240.65
  4. Step 4: Simplify right side
    760.74x = 274,568.79
  5. Step 5: Solve for x
    x = 274,568.79/760.74
  6. Step 6: Final answer
    x = 360.93

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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.