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Finding the Fourth Proportional to 1,039.38, 1,556.91 and 807.45

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Solution

The fourth proportional to 1,039.38, 1,556.91 and 807.45 is: 1,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.38 : 1,556.91 = 807.45 : x
  2. Step 2: Convert to fraction form
    1,039.38/1,556.91 = 807.45/x
  3. Step 3: Cross multiply
    1,039.38x = 1,556.91 × 807.45
  4. Step 4: Simplify right side
    1,039.38x = 1,257,126.98
  5. Step 5: Solve for x
    x = 1,257,126.98/1,039.38
  6. Step 6: Final answer
    x = 1,209.50

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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.