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Finding the Fourth Proportional to 933.88, 1,399.91 and 522.18

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Solution

The fourth proportional to 933.88, 1,399.91 and 522.18 is: 782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.88 : 1,399.91 = 522.18 : x
  2. Step 2: Convert to fraction form
    933.88/1,399.91 = 522.18/x
  3. Step 3: Cross multiply
    933.88x = 1,399.91 × 522.18
  4. Step 4: Simplify right side
    933.88x = 731,009.77
  5. Step 5: Solve for x
    x = 731,009.77/933.88
  6. Step 6: Final answer
    x = 782.77

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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.