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Finding the Fourth Proportional to 650.66, 898.85 and 563.18

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Solution

The fourth proportional to 650.66, 898.85 and 563.18 is: 778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 898.85 = 563.18 : x
  2. Step 2: Convert to fraction form
    650.66/898.85 = 563.18/x
  3. Step 3: Cross multiply
    650.66x = 898.85 × 563.18
  4. Step 4: Simplify right side
    650.66x = 506,207.03
  5. Step 5: Solve for x
    x = 506,207.03/650.66
  6. Step 6: Final answer
    x = 778.00

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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.