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Finding the Fourth Proportional to 1,200.78, 1,801.36 and 507.45

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Solution

The fourth proportional to 1,200.78, 1,801.36 and 507.45 is: 761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.78 : 1,801.36 = 507.45 : x
  2. Step 2: Convert to fraction form
    1,200.78/1,801.36 = 507.45/x
  3. Step 3: Cross multiply
    1,200.78x = 1,801.36 × 507.45
  4. Step 4: Simplify right side
    1,200.78x = 914,104.27
  5. Step 5: Solve for x
    x = 914,104.27/1,200.78
  6. Step 6: Final answer
    x = 761.26

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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.