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Finding the Fourth Proportional to 1,499.51, 2,069.78 and 870.20

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Solution

The fourth proportional to 1,499.51, 2,069.78 and 870.20 is: 1,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.51 : 2,069.78 = 870.20 : x
  2. Step 2: Convert to fraction form
    1,499.51/2,069.78 = 870.20/x
  3. Step 3: Cross multiply
    1,499.51x = 2,069.78 × 870.20
  4. Step 4: Simplify right side
    1,499.51x = 1,801,122.56
  5. Step 5: Solve for x
    x = 1,801,122.56/1,499.51
  6. Step 6: Final answer
    x = 1,201.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.