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Finding the Fourth Proportional to 1,351.49, 1,865.16 and 762.13

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Solution

The fourth proportional to 1,351.49, 1,865.16 and 762.13 is: 1,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.49 : 1,865.16 = 762.13 : x
  2. Step 2: Convert to fraction form
    1,351.49/1,865.16 = 762.13/x
  3. Step 3: Cross multiply
    1,351.49x = 1,865.16 × 762.13
  4. Step 4: Simplify right side
    1,351.49x = 1,421,486.23
  5. Step 5: Solve for x
    x = 1,421,486.23/1,351.49
  6. Step 6: Final answer
    x = 1,051.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.