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Finding the Fourth Proportional to 468.52, 705.95 and 389.14

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Solution

The fourth proportional to 468.52, 705.95 and 389.14 is: 586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 705.95 = 389.14 : x
  2. Step 2: Convert to fraction form
    468.52/705.95 = 389.14/x
  3. Step 3: Cross multiply
    468.52x = 705.95 × 389.14
  4. Step 4: Simplify right side
    468.52x = 274,713.38
  5. Step 5: Solve for x
    x = 274,713.38/468.52
  6. Step 6: Final answer
    x = 586.34

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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.