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Finding the Fourth Proportional to 560.85, 773.94 and 312.15

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Solution

The fourth proportional to 560.85, 773.94 and 312.15 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.85 : 773.94 = 312.15 : x
  2. Step 2: Convert to fraction form
    560.85/773.94 = 312.15/x
  3. Step 3: Cross multiply
    560.85x = 773.94 × 312.15
  4. Step 4: Simplify right side
    560.85x = 241,585.37
  5. Step 5: Solve for x
    x = 241,585.37/560.85
  6. Step 6: Final answer
    x = 430.75

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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.