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Finding the Fourth Proportional to 518.75, 774.12 and 463.32

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Solution

The fourth proportional to 518.75, 774.12 and 463.32 is: 691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 774.12 = 463.32 : x
  2. Step 2: Convert to fraction form
    518.75/774.12 = 463.32/x
  3. Step 3: Cross multiply
    518.75x = 774.12 × 463.32
  4. Step 4: Simplify right side
    518.75x = 358,667.02
  5. Step 5: Solve for x
    x = 358,667.02/518.75
  6. Step 6: Final answer
    x = 691.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.