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Finding the Fourth Proportional to 760.92, 1,142.20 and 607.84

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Solution

The fourth proportional to 760.92, 1,142.20 and 607.84 is: 912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,142.20 = 607.84 : x
  2. Step 2: Convert to fraction form
    760.92/1,142.20 = 607.84/x
  3. Step 3: Cross multiply
    760.92x = 1,142.20 × 607.84
  4. Step 4: Simplify right side
    760.92x = 694,274.85
  5. Step 5: Solve for x
    x = 694,274.85/760.92
  6. Step 6: Final answer
    x = 912.42

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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.