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Finding the Fourth Proportional to 643.86, 888.51 and 560.94

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Solution

The fourth proportional to 643.86, 888.51 and 560.94 is: 774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.86 : 888.51 = 560.94 : x
  2. Step 2: Convert to fraction form
    643.86/888.51 = 560.94/x
  3. Step 3: Cross multiply
    643.86x = 888.51 × 560.94
  4. Step 4: Simplify right side
    643.86x = 498,400.80
  5. Step 5: Solve for x
    x = 498,400.80/643.86
  6. Step 6: Final answer
    x = 774.08

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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.