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Finding the Fourth Proportional to 560.79, 773.03 and 403.75

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Solution

The fourth proportional to 560.79, 773.03 and 403.75 is: 556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.79 : 773.03 = 403.75 : x
  2. Step 2: Convert to fraction form
    560.79/773.03 = 403.75/x
  3. Step 3: Cross multiply
    560.79x = 773.03 × 403.75
  4. Step 4: Simplify right side
    560.79x = 312,112.84
  5. Step 5: Solve for x
    x = 312,112.84/560.79
  6. Step 6: Final answer
    x = 556.56

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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.