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Finding the Fourth Proportional to 708.30, 1,061.70 and 269.35

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Solution

The fourth proportional to 708.30, 1,061.70 and 269.35 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 1,061.70 = 269.35 : x
  2. Step 2: Convert to fraction form
    708.30/1,061.70 = 269.35/x
  3. Step 3: Cross multiply
    708.30x = 1,061.70 × 269.35
  4. Step 4: Simplify right side
    708.30x = 285,968.90
  5. Step 5: Solve for x
    x = 285,968.90/708.30
  6. Step 6: Final answer
    x = 403.74

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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.