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Finding the Fourth Proportional to 651.23, 974.15 and 534.36

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Solution

The fourth proportional to 651.23, 974.15 and 534.36 is: 799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.23 : 974.15 = 534.36 : x
  2. Step 2: Convert to fraction form
    651.23/974.15 = 534.36/x
  3. Step 3: Cross multiply
    651.23x = 974.15 × 534.36
  4. Step 4: Simplify right side
    651.23x = 520,551.95
  5. Step 5: Solve for x
    x = 520,551.95/651.23
  6. Step 6: Final answer
    x = 799.34

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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.