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Finding the Fourth Proportional to 560.75, 774.14 and 339.75

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Solution

The fourth proportional to 560.75, 774.14 and 339.75 is: 469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.75 : 774.14 = 339.75 : x
  2. Step 2: Convert to fraction form
    560.75/774.14 = 339.75/x
  3. Step 3: Cross multiply
    560.75x = 774.14 × 339.75
  4. Step 4: Simplify right side
    560.75x = 263,012.37
  5. Step 5: Solve for x
    x = 263,012.37/560.75
  6. Step 6: Final answer
    x = 469.04

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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.