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Finding the Fourth Proportional to 514.28, 774.90 and 424.98

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Solution

The fourth proportional to 514.28, 774.90 and 424.98 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.28 : 774.90 = 424.98 : x
  2. Step 2: Convert to fraction form
    514.28/774.90 = 424.98/x
  3. Step 3: Cross multiply
    514.28x = 774.90 × 424.98
  4. Step 4: Simplify right side
    514.28x = 329,317.00
  5. Step 5: Solve for x
    x = 329,317.00/514.28
  6. Step 6: Final answer
    x = 640.34

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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.