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Finding the Fourth Proportional to 943.76, 1,415.96 and 597.36

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Solution

The fourth proportional to 943.76, 1,415.96 and 597.36 is: 896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.76 : 1,415.96 = 597.36 : x
  2. Step 2: Convert to fraction form
    943.76/1,415.96 = 597.36/x
  3. Step 3: Cross multiply
    943.76x = 1,415.96 × 597.36
  4. Step 4: Simplify right side
    943.76x = 845,837.87
  5. Step 5: Solve for x
    x = 845,837.87/943.76
  6. Step 6: Final answer
    x = 896.24

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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.