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Finding the Fourth Proportional to 1,431.61, 2,147.20 and 700.99

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Solution

The fourth proportional to 1,431.61, 2,147.20 and 700.99 is: 1,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.61 : 2,147.20 = 700.99 : x
  2. Step 2: Convert to fraction form
    1,431.61/2,147.20 = 700.99/x
  3. Step 3: Cross multiply
    1,431.61x = 2,147.20 × 700.99
  4. Step 4: Simplify right side
    1,431.61x = 1,505,158.61
  5. Step 5: Solve for x
    x = 1,505,158.61/1,431.61
  6. Step 6: Final answer
    x = 1,051.38

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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.