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Finding the Fourth Proportional to 560.77, 773.91 and 312.10

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Solution

The fourth proportional to 560.77, 773.91 and 312.10 is: 430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.77 : 773.91 = 312.10 : x
  2. Step 2: Convert to fraction form
    560.77/773.91 = 312.10/x
  3. Step 3: Cross multiply
    560.77x = 773.91 × 312.10
  4. Step 4: Simplify right side
    560.77x = 241,537.31
  5. Step 5: Solve for x
    x = 241,537.31/560.77
  6. Step 6: Final answer
    x = 430.72

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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.