Home / 1,075.29-1,610.52-934.66

Finding the Fourth Proportional to 1,075.29, 1,610.52 and 934.66

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Solution

The fourth proportional to 1,075.29, 1,610.52 and 934.66 is: 1,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.29 : 1,610.52 = 934.66 : x
  2. Step 2: Convert to fraction form
    1,075.29/1,610.52 = 934.66/x
  3. Step 3: Cross multiply
    1,075.29x = 1,610.52 × 934.66
  4. Step 4: Simplify right side
    1,075.29x = 1,505,288.62
  5. Step 5: Solve for x
    x = 1,505,288.62/1,075.29
  6. Step 6: Final answer
    x = 1,399.89

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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.