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Finding the Fourth Proportional to 534.52, 798.67 and 370.90

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Solution

The fourth proportional to 534.52, 798.67 and 370.90 is: 554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.52 : 798.67 = 370.90 : x
  2. Step 2: Convert to fraction form
    534.52/798.67 = 370.90/x
  3. Step 3: Cross multiply
    534.52x = 798.67 × 370.90
  4. Step 4: Simplify right side
    534.52x = 296,226.70
  5. Step 5: Solve for x
    x = 296,226.70/534.52
  6. Step 6: Final answer
    x = 554.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.