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Finding the Fourth Proportional to 1,259.00, 1,888.79 and 437.28

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Solution

The fourth proportional to 1,259.00, 1,888.79 and 437.28 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.00 : 1,888.79 = 437.28 : x
  2. Step 2: Convert to fraction form
    1,259.00/1,888.79 = 437.28/x
  3. Step 3: Cross multiply
    1,259.00x = 1,888.79 × 437.28
  4. Step 4: Simplify right side
    1,259.00x = 825,927.90
  5. Step 5: Solve for x
    x = 825,927.90/1,259.00
  6. Step 6: Final answer
    x = 656.02

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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.