Home / 1,460.13-2,189.10-766.77

Finding the Fourth Proportional to 1,460.13, 2,189.10 and 766.77

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Solution

The fourth proportional to 1,460.13, 2,189.10 and 766.77 is: 1,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.13 : 2,189.10 = 766.77 : x
  2. Step 2: Convert to fraction form
    1,460.13/2,189.10 = 766.77/x
  3. Step 3: Cross multiply
    1,460.13x = 2,189.10 × 766.77
  4. Step 4: Simplify right side
    1,460.13x = 1,678,536.21
  5. Step 5: Solve for x
    x = 1,678,536.21/1,460.13
  6. Step 6: Final answer
    x = 1,149.58

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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.