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Finding the Fourth Proportional to 760.42, 1,049.38 and 411.11

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Solution

The fourth proportional to 760.42, 1,049.38 and 411.11 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.42 : 1,049.38 = 411.11 : x
  2. Step 2: Convert to fraction form
    760.42/1,049.38 = 411.11/x
  3. Step 3: Cross multiply
    760.42x = 1,049.38 × 411.11
  4. Step 4: Simplify right side
    760.42x = 431,414.51
  5. Step 5: Solve for x
    x = 431,414.51/760.42
  6. Step 6: Final answer
    x = 567.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.