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Finding the Fourth Proportional to 758.32, 1,137.96 and 325.52

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Solution

The fourth proportional to 758.32, 1,137.96 and 325.52 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.32 : 1,137.96 = 325.52 : x
  2. Step 2: Convert to fraction form
    758.32/1,137.96 = 325.52/x
  3. Step 3: Cross multiply
    758.32x = 1,137.96 × 325.52
  4. Step 4: Simplify right side
    758.32x = 370,428.74
  5. Step 5: Solve for x
    x = 370,428.74/758.32
  6. Step 6: Final answer
    x = 488.49

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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.