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Finding the Fourth Proportional to 701.58, 1,052.13 and 214.50

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Solution

The fourth proportional to 701.58, 1,052.13 and 214.50 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.58 : 1,052.13 = 214.50 : x
  2. Step 2: Convert to fraction form
    701.58/1,052.13 = 214.50/x
  3. Step 3: Cross multiply
    701.58x = 1,052.13 × 214.50
  4. Step 4: Simplify right side
    701.58x = 225,681.89
  5. Step 5: Solve for x
    x = 225,681.89/701.58
  6. Step 6: Final answer
    x = 321.68

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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.