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Finding the Fourth Proportional to 693.60, 1,040.40 and 282.78

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Solution

The fourth proportional to 693.60, 1,040.40 and 282.78 is: 424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 1,040.40 = 282.78 : x
  2. Step 2: Convert to fraction form
    693.60/1,040.40 = 282.78/x
  3. Step 3: Cross multiply
    693.60x = 1,040.40 × 282.78
  4. Step 4: Simplify right side
    693.60x = 294,204.31
  5. Step 5: Solve for x
    x = 294,204.31/693.60
  6. Step 6: Final answer
    x = 424.17

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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.