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Finding the Fourth Proportional to 952.31, 1,313.76 and 559.16

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Solution

The fourth proportional to 952.31, 1,313.76 and 559.16 is: 771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.31 : 1,313.76 = 559.16 : x
  2. Step 2: Convert to fraction form
    952.31/1,313.76 = 559.16/x
  3. Step 3: Cross multiply
    952.31x = 1,313.76 × 559.16
  4. Step 4: Simplify right side
    952.31x = 734,595.47
  5. Step 5: Solve for x
    x = 734,595.47/952.31
  6. Step 6: Final answer
    x = 771.39

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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.