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Finding the Fourth Proportional to 560.88, 774.01 and 312.22

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Solution

The fourth proportional to 560.88, 774.01 and 312.22 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.88 : 774.01 = 312.22 : x
  2. Step 2: Convert to fraction form
    560.88/774.01 = 312.22/x
  3. Step 3: Cross multiply
    560.88x = 774.01 × 312.22
  4. Step 4: Simplify right side
    560.88x = 241,658.69
  5. Step 5: Solve for x
    x = 241,658.69/560.88
  6. Step 6: Final answer
    x = 430.86

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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.