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Finding the Fourth Proportional to 929.85, 1,283.46 and 531.74

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Solution

The fourth proportional to 929.85, 1,283.46 and 531.74 is: 733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.85 : 1,283.46 = 531.74 : x
  2. Step 2: Convert to fraction form
    929.85/1,283.46 = 531.74/x
  3. Step 3: Cross multiply
    929.85x = 1,283.46 × 531.74
  4. Step 4: Simplify right side
    929.85x = 682,463.45
  5. Step 5: Solve for x
    x = 682,463.45/929.85
  6. Step 6: Final answer
    x = 733.95

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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.