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Finding the Fourth Proportional to 701.63, 1,053.10 and 355.21

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Solution

The fourth proportional to 701.63, 1,053.10 and 355.21 is: 533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.63 : 1,053.10 = 355.21 : x
  2. Step 2: Convert to fraction form
    701.63/1,053.10 = 355.21/x
  3. Step 3: Cross multiply
    701.63x = 1,053.10 × 355.21
  4. Step 4: Simplify right side
    701.63x = 374,067.24
  5. Step 5: Solve for x
    x = 374,067.24/701.63
  6. Step 6: Final answer
    x = 533.14

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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.