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Finding the Fourth Proportional to 755.23, 1,133.08 and 624.64

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Solution

The fourth proportional to 755.23, 1,133.08 and 624.64 is: 937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.23 : 1,133.08 = 624.64 : x
  2. Step 2: Convert to fraction form
    755.23/1,133.08 = 624.64/x
  3. Step 3: Cross multiply
    755.23x = 1,133.08 × 624.64
  4. Step 4: Simplify right side
    755.23x = 707,758.30
  5. Step 5: Solve for x
    x = 707,758.30/755.23
  6. Step 6: Final answer
    x = 937.14

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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.