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Finding the Fourth Proportional to 755.84, 1,133.54 and 207.89

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Solution

The fourth proportional to 755.84, 1,133.54 and 207.89 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.84 : 1,133.54 = 207.89 : x
  2. Step 2: Convert to fraction form
    755.84/1,133.54 = 207.89/x
  3. Step 3: Cross multiply
    755.84x = 1,133.54 × 207.89
  4. Step 4: Simplify right side
    755.84x = 235,646.48
  5. Step 5: Solve for x
    x = 235,646.48/755.84
  6. Step 6: Final answer
    x = 311.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.