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Finding the Fourth Proportional to 933.42, 1,400.88 and 495.18

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Solution

The fourth proportional to 933.42, 1,400.88 and 495.18 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.42 : 1,400.88 = 495.18 : x
  2. Step 2: Convert to fraction form
    933.42/1,400.88 = 495.18/x
  3. Step 3: Cross multiply
    933.42x = 1,400.88 × 495.18
  4. Step 4: Simplify right side
    933.42x = 693,687.76
  5. Step 5: Solve for x
    x = 693,687.76/933.42
  6. Step 6: Final answer
    x = 743.17

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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.