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Finding the Fourth Proportional to 640.22, 883.86 and 509.90

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Solution

The fourth proportional to 640.22, 883.86 and 509.90 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.22 : 883.86 = 509.90 : x
  2. Step 2: Convert to fraction form
    640.22/883.86 = 509.90/x
  3. Step 3: Cross multiply
    640.22x = 883.86 × 509.90
  4. Step 4: Simplify right side
    640.22x = 450,680.21
  5. Step 5: Solve for x
    x = 450,680.21/640.22
  6. Step 6: Final answer
    x = 703.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.