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Finding the Fourth Proportional to 1,092.83, 1,509.33 and 738.13

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Solution

The fourth proportional to 1,092.83, 1,509.33 and 738.13 is: 1,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.83 : 1,509.33 = 738.13 : x
  2. Step 2: Convert to fraction form
    1,092.83/1,509.33 = 738.13/x
  3. Step 3: Cross multiply
    1,092.83x = 1,509.33 × 738.13
  4. Step 4: Simplify right side
    1,092.83x = 1,114,081.75
  5. Step 5: Solve for x
    x = 1,114,081.75/1,092.83
  6. Step 6: Final answer
    x = 1,019.45

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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.