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Finding the Fourth Proportional to 560.95, 774.09 and 312.25

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Solution

The fourth proportional to 560.95, 774.09 and 312.25 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.95 : 774.09 = 312.25 : x
  2. Step 2: Convert to fraction form
    560.95/774.09 = 312.25/x
  3. Step 3: Cross multiply
    560.95x = 774.09 × 312.25
  4. Step 4: Simplify right side
    560.95x = 241,709.60
  5. Step 5: Solve for x
    x = 241,709.60/560.95
  6. Step 6: Final answer
    x = 430.89

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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.