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Finding the Fourth Proportional to 688.29, 948.27 and 563.95

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Solution

The fourth proportional to 688.29, 948.27 and 563.95 is: 776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.29 : 948.27 = 563.95 : x
  2. Step 2: Convert to fraction form
    688.29/948.27 = 563.95/x
  3. Step 3: Cross multiply
    688.29x = 948.27 × 563.95
  4. Step 4: Simplify right side
    688.29x = 534,776.87
  5. Step 5: Solve for x
    x = 534,776.87/688.29
  6. Step 6: Final answer
    x = 776.97

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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.