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Finding the Fourth Proportional to 514.16, 774.71 and 424.86

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Solution

The fourth proportional to 514.16, 774.71 and 424.86 is: 640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 774.71 = 424.86 : x
  2. Step 2: Convert to fraction form
    514.16/774.71 = 424.86/x
  3. Step 3: Cross multiply
    514.16x = 774.71 × 424.86
  4. Step 4: Simplify right side
    514.16x = 329,143.29
  5. Step 5: Solve for x
    x = 329,143.29/514.16
  6. Step 6: Final answer
    x = 640.16

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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.