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Finding the Fourth Proportional to 1,309.78, 1,807.50 and 750.21

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Solution

The fourth proportional to 1,309.78, 1,807.50 and 750.21 is: 1,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.78 : 1,807.50 = 750.21 : x
  2. Step 2: Convert to fraction form
    1,309.78/1,807.50 = 750.21/x
  3. Step 3: Cross multiply
    1,309.78x = 1,807.50 × 750.21
  4. Step 4: Simplify right side
    1,309.78x = 1,356,004.58
  5. Step 5: Solve for x
    x = 1,356,004.58/1,309.78
  6. Step 6: Final answer
    x = 1,035.29

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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.