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Finding the Fourth Proportional to 827.90, 1,233.79 and 802.87

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Solution

The fourth proportional to 827.90, 1,233.79 and 802.87 is: 1,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,233.79 = 802.87 : x
  2. Step 2: Convert to fraction form
    827.90/1,233.79 = 802.87/x
  3. Step 3: Cross multiply
    827.90x = 1,233.79 × 802.87
  4. Step 4: Simplify right side
    827.90x = 990,572.98
  5. Step 5: Solve for x
    x = 990,572.98/827.90
  6. Step 6: Final answer
    x = 1,196.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.