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Finding the Fourth Proportional to 460.80, 634.44 and 390.70

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Solution

The fourth proportional to 460.80, 634.44 and 390.70 is: 537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 634.44 = 390.70 : x
  2. Step 2: Convert to fraction form
    460.80/634.44 = 390.70/x
  3. Step 3: Cross multiply
    460.80x = 634.44 × 390.70
  4. Step 4: Simplify right side
    460.80x = 247,875.71
  5. Step 5: Solve for x
    x = 247,875.71/460.80
  6. Step 6: Final answer
    x = 537.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.