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Finding the Fourth Proportional to 1,201.70, 1,801.65 and 507.78

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Solution

The fourth proportional to 1,201.70, 1,801.65 and 507.78 is: 761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.70 : 1,801.65 = 507.78 : x
  2. Step 2: Convert to fraction form
    1,201.70/1,801.65 = 507.78/x
  3. Step 3: Cross multiply
    1,201.70x = 1,801.65 × 507.78
  4. Step 4: Simplify right side
    1,201.70x = 914,841.84
  5. Step 5: Solve for x
    x = 914,841.84/1,201.70
  6. Step 6: Final answer
    x = 761.29

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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.