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Finding the Fourth Proportional to 1,165.11, 1,603.71 and 1,009.59

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Solution

The fourth proportional to 1,165.11, 1,603.71 and 1,009.59 is: 1,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.11 : 1,603.71 = 1,009.59 : x
  2. Step 2: Convert to fraction form
    1,165.11/1,603.71 = 1,009.59/x
  3. Step 3: Cross multiply
    1,165.11x = 1,603.71 × 1,009.59
  4. Step 4: Simplify right side
    1,165.11x = 1,619,089.58
  5. Step 5: Solve for x
    x = 1,619,089.58/1,165.11
  6. Step 6: Final answer
    x = 1,389.65

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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.