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Finding the Fourth Proportional to 862.84, 1,190.75 and 531.37

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Solution

The fourth proportional to 862.84, 1,190.75 and 531.37 is: 733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,190.75 = 531.37 : x
  2. Step 2: Convert to fraction form
    862.84/1,190.75 = 531.37/x
  3. Step 3: Cross multiply
    862.84x = 1,190.75 × 531.37
  4. Step 4: Simplify right side
    862.84x = 632,728.83
  5. Step 5: Solve for x
    x = 632,728.83/862.84
  6. Step 6: Final answer
    x = 733.31

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1.5x scale

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.