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Finding the Fourth Proportional to 913.31, 1,371.50 and 597.22

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Solution

The fourth proportional to 913.31, 1,371.50 and 597.22 is: 896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.31 : 1,371.50 = 597.22 : x
  2. Step 2: Convert to fraction form
    913.31/1,371.50 = 597.22/x
  3. Step 3: Cross multiply
    913.31x = 1,371.50 × 597.22
  4. Step 4: Simplify right side
    913.31x = 819,085.29
  5. Step 5: Solve for x
    x = 819,085.29/913.31
  6. Step 6: Final answer
    x = 896.84

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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.