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Finding the Fourth Proportional to 781.94, 1,084.01 and 740.33

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Solution

The fourth proportional to 781.94, 1,084.01 and 740.33 is: 1,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.94 : 1,084.01 = 740.33 : x
  2. Step 2: Convert to fraction form
    781.94/1,084.01 = 740.33/x
  3. Step 3: Cross multiply
    781.94x = 1,084.01 × 740.33
  4. Step 4: Simplify right side
    781.94x = 802,525.62
  5. Step 5: Solve for x
    x = 802,525.62/781.94
  6. Step 6: Final answer
    x = 1,026.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.