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Finding the Fourth Proportional to 782.13, 1,084.28 and 740.51

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Solution

The fourth proportional to 782.13, 1,084.28 and 740.51 is: 1,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,084.28 = 740.51 : x
  2. Step 2: Convert to fraction form
    782.13/1,084.28 = 740.51/x
  3. Step 3: Cross multiply
    782.13x = 1,084.28 × 740.51
  4. Step 4: Simplify right side
    782.13x = 802,921.22
  5. Step 5: Solve for x
    x = 802,921.22/782.13
  6. Step 6: Final answer
    x = 1,026.59

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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.