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Finding the Fourth Proportional to 760.68, 1,140.78 and 247.56

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Solution

The fourth proportional to 760.68, 1,140.78 and 247.56 is: 371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.68 : 1,140.78 = 247.56 : x
  2. Step 2: Convert to fraction form
    760.68/1,140.78 = 247.56/x
  3. Step 3: Cross multiply
    760.68x = 1,140.78 × 247.56
  4. Step 4: Simplify right side
    760.68x = 282,411.50
  5. Step 5: Solve for x
    x = 282,411.50/760.68
  6. Step 6: Final answer
    x = 371.26

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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.