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Finding the Fourth Proportional to 933.65, 1,400.02 and 543.79

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Solution

The fourth proportional to 933.65, 1,400.02 and 543.79 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.65 : 1,400.02 = 543.79 : x
  2. Step 2: Convert to fraction form
    933.65/1,400.02 = 543.79/x
  3. Step 3: Cross multiply
    933.65x = 1,400.02 × 543.79
  4. Step 4: Simplify right side
    933.65x = 761,309.39
  5. Step 5: Solve for x
    x = 761,309.39/933.65
  6. Step 6: Final answer
    x = 815.41

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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.