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Finding the Fourth Proportional to 701.17, 1,051.89 and 412

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Solution

The fourth proportional to 701.17, 1,051.89 and 412 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.17 : 1,051.89 = 412 : x
  2. Step 2: Convert to fraction form
    701.17/1,051.89 = 412/x
  3. Step 3: Cross multiply
    701.17x = 1,051.89 × 412
  4. Step 4: Simplify right side
    701.17x = 433,378.68
  5. Step 5: Solve for x
    x = 433,378.68/701.17
  6. Step 6: Final answer
    x = 618.08

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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.