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Finding the Fourth Proportional to 560.05, 772.36 and 403.72

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Solution

The fourth proportional to 560.05, 772.36 and 403.72 is: 556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.05 : 772.36 = 403.72 : x
  2. Step 2: Convert to fraction form
    560.05/772.36 = 403.72/x
  3. Step 3: Cross multiply
    560.05x = 772.36 × 403.72
  4. Step 4: Simplify right side
    560.05x = 311,814.24
  5. Step 5: Solve for x
    x = 311,814.24/560.05
  6. Step 6: Final answer
    x = 556.76

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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.