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Finding the Fourth Proportional to 560.78, 773.85 and 312.11

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Solution

The fourth proportional to 560.78, 773.85 and 312.11 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.78 : 773.85 = 312.11 : x
  2. Step 2: Convert to fraction form
    560.78/773.85 = 312.11/x
  3. Step 3: Cross multiply
    560.78x = 773.85 × 312.11
  4. Step 4: Simplify right side
    560.78x = 241,526.32
  5. Step 5: Solve for x
    x = 241,526.32/560.78
  6. Step 6: Final answer
    x = 430.70

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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.