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Finding the Fourth Proportional to 839.80, 1,256.70 and 531.80

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Solution

The fourth proportional to 839.80, 1,256.70 and 531.80 is: 795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.80 : 1,256.70 = 531.80 : x
  2. Step 2: Convert to fraction form
    839.80/1,256.70 = 531.80/x
  3. Step 3: Cross multiply
    839.80x = 1,256.70 × 531.80
  4. Step 4: Simplify right side
    839.80x = 668,313.06
  5. Step 5: Solve for x
    x = 668,313.06/839.80
  6. Step 6: Final answer
    x = 795.80

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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.