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Finding the Fourth Proportional to 1,292.24, 1,783.14 and 725.06

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Solution

The fourth proportional to 1,292.24, 1,783.14 and 725.06 is: 1,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.24 : 1,783.14 = 725.06 : x
  2. Step 2: Convert to fraction form
    1,292.24/1,783.14 = 725.06/x
  3. Step 3: Cross multiply
    1,292.24x = 1,783.14 × 725.06
  4. Step 4: Simplify right side
    1,292.24x = 1,292,883.49
  5. Step 5: Solve for x
    x = 1,292,883.49/1,292.24
  6. Step 6: Final answer
    x = 1,000.50

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Why These Related Problems?

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