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Finding the Fourth Proportional to 857.79, 1,283.95 and 531.56

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Solution

The fourth proportional to 857.79, 1,283.95 and 531.56 is: 795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.79 : 1,283.95 = 531.56 : x
  2. Step 2: Convert to fraction form
    857.79/1,283.95 = 531.56/x
  3. Step 3: Cross multiply
    857.79x = 1,283.95 × 531.56
  4. Step 4: Simplify right side
    857.79x = 682,500.34
  5. Step 5: Solve for x
    x = 682,500.34/857.79
  6. Step 6: Final answer
    x = 795.65

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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.