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Finding the Fourth Proportional to 514, 774.57 and 429.25

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Solution

The fourth proportional to 514, 774.57 and 429.25 is: 646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 774.57 = 429.25 : x
  2. Step 2: Convert to fraction form
    514/774.57 = 429.25/x
  3. Step 3: Cross multiply
    514x = 774.57 × 429.25
  4. Step 4: Simplify right side
    514x = 332,484.17
  5. Step 5: Solve for x
    x = 332,484.17/514
  6. Step 6: Final answer
    x = 646.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.