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Finding the Fourth Proportional to 704.23, 970.81 and 493.74

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Solution

The fourth proportional to 704.23, 970.81 and 493.74 is: 680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.23 : 970.81 = 493.74 : x
  2. Step 2: Convert to fraction form
    704.23/970.81 = 493.74/x
  3. Step 3: Cross multiply
    704.23x = 970.81 × 493.74
  4. Step 4: Simplify right side
    704.23x = 479,326.50
  5. Step 5: Solve for x
    x = 479,326.50/704.23
  6. Step 6: Final answer
    x = 680.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.