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Finding the Fourth Proportional to 933.59, 1,288.31 and 513.94

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Solution

The fourth proportional to 933.59, 1,288.31 and 513.94 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.59 : 1,288.31 = 513.94 : x
  2. Step 2: Convert to fraction form
    933.59/1,288.31 = 513.94/x
  3. Step 3: Cross multiply
    933.59x = 1,288.31 × 513.94
  4. Step 4: Simplify right side
    933.59x = 662,108.25
  5. Step 5: Solve for x
    x = 662,108.25/933.59
  6. Step 6: Final answer
    x = 709.21

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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.