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Finding the Fourth Proportional to 560.83, 773.99 and 312.23

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Solution

The fourth proportional to 560.83, 773.99 and 312.23 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.83 : 773.99 = 312.23 : x
  2. Step 2: Convert to fraction form
    560.83/773.99 = 312.23/x
  3. Step 3: Cross multiply
    560.83x = 773.99 × 312.23
  4. Step 4: Simplify right side
    560.83x = 241,662.90
  5. Step 5: Solve for x
    x = 241,662.90/560.83
  6. Step 6: Final answer
    x = 430.90

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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.