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Finding the Fourth Proportional to 650.52, 973.80 and 457.56

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Solution

The fourth proportional to 650.52, 973.80 and 457.56 is: 684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 973.80 = 457.56 : x
  2. Step 2: Convert to fraction form
    650.52/973.80 = 457.56/x
  3. Step 3: Cross multiply
    650.52x = 973.80 × 457.56
  4. Step 4: Simplify right side
    650.52x = 445,571.93
  5. Step 5: Solve for x
    x = 445,571.93/650.52
  6. Step 6: Final answer
    x = 684.95

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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.