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Finding the Fourth Proportional to 965.17, 1,331.34 and 591.86

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Solution

The fourth proportional to 965.17, 1,331.34 and 591.86 is: 816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.17 : 1,331.34 = 591.86 : x
  2. Step 2: Convert to fraction form
    965.17/1,331.34 = 591.86/x
  3. Step 3: Cross multiply
    965.17x = 1,331.34 × 591.86
  4. Step 4: Simplify right side
    965.17x = 787,960.51
  5. Step 5: Solve for x
    x = 787,960.51/965.17
  6. Step 6: Final answer
    x = 816.40

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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.