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Finding the Fourth Proportional to 760.85, 1,140.44 and 298.12

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Solution

The fourth proportional to 760.85, 1,140.44 and 298.12 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.85 : 1,140.44 = 298.12 : x
  2. Step 2: Convert to fraction form
    760.85/1,140.44 = 298.12/x
  3. Step 3: Cross multiply
    760.85x = 1,140.44 × 298.12
  4. Step 4: Simplify right side
    760.85x = 339,980.78
  5. Step 5: Solve for x
    x = 339,980.78/760.85
  6. Step 6: Final answer
    x = 446.85

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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.