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Finding the Fourth Proportional to 938.98, 1,295.65 and 535.20

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Solution

The fourth proportional to 938.98, 1,295.65 and 535.20 is: 738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.98 : 1,295.65 = 535.20 : x
  2. Step 2: Convert to fraction form
    938.98/1,295.65 = 535.20/x
  3. Step 3: Cross multiply
    938.98x = 1,295.65 × 535.20
  4. Step 4: Simplify right side
    938.98x = 693,433.79
  5. Step 5: Solve for x
    x = 693,433.79/938.98
  6. Step 6: Final answer
    x = 738.50

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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.