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Finding the Fourth Proportional to 855.09, 1,275.92 and 802.84

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Solution

The fourth proportional to 855.09, 1,275.92 and 802.84 is: 1,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,275.92 = 802.84 : x
  2. Step 2: Convert to fraction form
    855.09/1,275.92 = 802.84/x
  3. Step 3: Cross multiply
    855.09x = 1,275.92 × 802.84
  4. Step 4: Simplify right side
    855.09x = 1,024,355.60
  5. Step 5: Solve for x
    x = 1,024,355.60/855.09
  6. Step 6: Final answer
    x = 1,197.96

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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.