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Finding the Fourth Proportional to 650.53, 903.95 and 643.87

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Solution

The fourth proportional to 650.53, 903.95 and 643.87 is: 894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 903.95 = 643.87 : x
  2. Step 2: Convert to fraction form
    650.53/903.95 = 643.87/x
  3. Step 3: Cross multiply
    650.53x = 903.95 × 643.87
  4. Step 4: Simplify right side
    650.53x = 582,024.43
  5. Step 5: Solve for x
    x = 582,024.43/650.53
  6. Step 6: Final answer
    x = 894.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.