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Finding the Fourth Proportional to 933.91, 1,288.95 and 712.44

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Solution

The fourth proportional to 933.91, 1,288.95 and 712.44 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.91 : 1,288.95 = 712.44 : x
  2. Step 2: Convert to fraction form
    933.91/1,288.95 = 712.44/x
  3. Step 3: Cross multiply
    933.91x = 1,288.95 × 712.44
  4. Step 4: Simplify right side
    933.91x = 918,296.87
  5. Step 5: Solve for x
    x = 918,296.87/933.91
  6. Step 6: Final answer
    x = 983.28

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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.