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Finding the Fourth Proportional to 1,140.13, 1,709.97 and 360.01

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Solution

The fourth proportional to 1,140.13, 1,709.97 and 360.01 is: 539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.13 : 1,709.97 = 360.01 : x
  2. Step 2: Convert to fraction form
    1,140.13/1,709.97 = 360.01/x
  3. Step 3: Cross multiply
    1,140.13x = 1,709.97 × 360.01
  4. Step 4: Simplify right side
    1,140.13x = 615,606.30
  5. Step 5: Solve for x
    x = 615,606.30/1,140.13
  6. Step 6: Final answer
    x = 539.94

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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.