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Finding the Fourth Proportional to 1,328.47, 1,833.29 and 739.06

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Solution

The fourth proportional to 1,328.47, 1,833.29 and 739.06 is: 1,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.47 : 1,833.29 = 739.06 : x
  2. Step 2: Convert to fraction form
    1,328.47/1,833.29 = 739.06/x
  3. Step 3: Cross multiply
    1,328.47x = 1,833.29 × 739.06
  4. Step 4: Simplify right side
    1,328.47x = 1,354,911.31
  5. Step 5: Solve for x
    x = 1,354,911.31/1,328.47
  6. Step 6: Final answer
    x = 1,019.90

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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.