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Finding the Fourth Proportional to 1,138.38, 1,709.05 and 590.95

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Solution

The fourth proportional to 1,138.38, 1,709.05 and 590.95 is: 887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.38 : 1,709.05 = 590.95 : x
  2. Step 2: Convert to fraction form
    1,138.38/1,709.05 = 590.95/x
  3. Step 3: Cross multiply
    1,138.38x = 1,709.05 × 590.95
  4. Step 4: Simplify right side
    1,138.38x = 1,009,955.25
  5. Step 5: Solve for x
    x = 1,009,955.25/1,138.38
  6. Step 6: Final answer
    x = 887.19

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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.