Home / 1,166.50-1,749.75-397.06

Finding the Fourth Proportional to 1,166.50, 1,749.75 and 397.06

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Solution

The fourth proportional to 1,166.50, 1,749.75 and 397.06 is: 595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.50 : 1,749.75 = 397.06 : x
  2. Step 2: Convert to fraction form
    1,166.50/1,749.75 = 397.06/x
  3. Step 3: Cross multiply
    1,166.50x = 1,749.75 × 397.06
  4. Step 4: Simplify right side
    1,166.50x = 694,755.74
  5. Step 5: Solve for x
    x = 694,755.74/1,166.50
  6. Step 6: Final answer
    x = 595.59

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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.