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Finding the Fourth Proportional to 1,045.29, 1,568.45 and 739.11

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Solution

The fourth proportional to 1,045.29, 1,568.45 and 739.11 is: 1,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.29 : 1,568.45 = 739.11 : x
  2. Step 2: Convert to fraction form
    1,045.29/1,568.45 = 739.11/x
  3. Step 3: Cross multiply
    1,045.29x = 1,568.45 × 739.11
  4. Step 4: Simplify right side
    1,045.29x = 1,159,258.93
  5. Step 5: Solve for x
    x = 1,159,258.93/1,045.29
  6. Step 6: Final answer
    x = 1,109.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.