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Finding the Fourth Proportional to 701.95, 1,054.32 and 442.12

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Solution

The fourth proportional to 701.95, 1,054.32 and 442.12 is: 664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.95 : 1,054.32 = 442.12 : x
  2. Step 2: Convert to fraction form
    701.95/1,054.32 = 442.12/x
  3. Step 3: Cross multiply
    701.95x = 1,054.32 × 442.12
  4. Step 4: Simplify right side
    701.95x = 466,135.96
  5. Step 5: Solve for x
    x = 466,135.96/701.95
  6. Step 6: Final answer
    x = 664.06

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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.