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Finding the Fourth Proportional to 713.99, 1,071.15 and 421.74

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Solution

The fourth proportional to 713.99, 1,071.15 and 421.74 is: 632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.99 : 1,071.15 = 421.74 : x
  2. Step 2: Convert to fraction form
    713.99/1,071.15 = 421.74/x
  3. Step 3: Cross multiply
    713.99x = 1,071.15 × 421.74
  4. Step 4: Simplify right side
    713.99x = 451,746.80
  5. Step 5: Solve for x
    x = 451,746.80/713.99
  6. Step 6: Final answer
    x = 632.71

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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.