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Finding the Fourth Proportional to 933.75, 1,398.80 and 686.49

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Solution

The fourth proportional to 933.75, 1,398.80 and 686.49 is: 1,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.75 : 1,398.80 = 686.49 : x
  2. Step 2: Convert to fraction form
    933.75/1,398.80 = 686.49/x
  3. Step 3: Cross multiply
    933.75x = 1,398.80 × 686.49
  4. Step 4: Simplify right side
    933.75x = 960,262.28
  5. Step 5: Solve for x
    x = 960,262.28/933.75
  6. Step 6: Final answer
    x = 1,028.40

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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.