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Finding the Fourth Proportional to 841.31, 1,269.55 and 810.80

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Solution

The fourth proportional to 841.31, 1,269.55 and 810.80 is: 1,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.31 : 1,269.55 = 810.80 : x
  2. Step 2: Convert to fraction form
    841.31/1,269.55 = 810.80/x
  3. Step 3: Cross multiply
    841.31x = 1,269.55 × 810.80
  4. Step 4: Simplify right side
    841.31x = 1,029,342.77
  5. Step 5: Solve for x
    x = 1,029,342.77/841.31
  6. Step 6: Final answer
    x = 1,223.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.