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Finding the Fourth Proportional to 1,259.24, 1,888.70 and 643.38

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Solution

The fourth proportional to 1,259.24, 1,888.70 and 643.38 is: 964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.24 : 1,888.70 = 643.38 : x
  2. Step 2: Convert to fraction form
    1,259.24/1,888.70 = 643.38/x
  3. Step 3: Cross multiply
    1,259.24x = 1,888.70 × 643.38
  4. Step 4: Simplify right side
    1,259.24x = 1,215,148.59
  5. Step 5: Solve for x
    x = 1,215,148.59/1,259.24
  6. Step 6: Final answer
    x = 964.99

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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.