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Finding the Fourth Proportional to 1,139.26, 1,708.88 and 369.76

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Solution

The fourth proportional to 1,139.26, 1,708.88 and 369.76 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.26 : 1,708.88 = 369.76 : x
  2. Step 2: Convert to fraction form
    1,139.26/1,708.88 = 369.76/x
  3. Step 3: Cross multiply
    1,139.26x = 1,708.88 × 369.76
  4. Step 4: Simplify right side
    1,139.26x = 631,875.47
  5. Step 5: Solve for x
    x = 631,875.47/1,139.26
  6. Step 6: Final answer
    x = 554.64

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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.