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Finding the Fourth Proportional to 760.78, 1,140.45 and 690.94

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Solution

The fourth proportional to 760.78, 1,140.45 and 690.94 is: 1,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.78 : 1,140.45 = 690.94 : x
  2. Step 2: Convert to fraction form
    760.78/1,140.45 = 690.94/x
  3. Step 3: Cross multiply
    760.78x = 1,140.45 × 690.94
  4. Step 4: Simplify right side
    760.78x = 787,982.52
  5. Step 5: Solve for x
    x = 787,982.52/760.78
  6. Step 6: Final answer
    x = 1,035.76

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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.