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Finding the Fourth Proportional to 634.77, 952.47 and 310.13

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Solution

The fourth proportional to 634.77, 952.47 and 310.13 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.77 : 952.47 = 310.13 : x
  2. Step 2: Convert to fraction form
    634.77/952.47 = 310.13/x
  3. Step 3: Cross multiply
    634.77x = 952.47 × 310.13
  4. Step 4: Simplify right side
    634.77x = 295,389.52
  5. Step 5: Solve for x
    x = 295,389.52/634.77
  6. Step 6: Final answer
    x = 465.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.