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Finding the Fourth Proportional to 460.58, 635.40 and 283.39

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Solution

The fourth proportional to 460.58, 635.40 and 283.39 is: 390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 635.40 = 283.39 : x
  2. Step 2: Convert to fraction form
    460.58/635.40 = 283.39/x
  3. Step 3: Cross multiply
    460.58x = 635.40 × 283.39
  4. Step 4: Simplify right side
    460.58x = 180,062.83
  5. Step 5: Solve for x
    x = 180,062.83/460.58
  6. Step 6: Final answer
    x = 390.95

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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.