Home / 1,180.25-1,767.63-904.14

Finding the Fourth Proportional to 1,180.25, 1,767.63 and 904.14

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Solution

The fourth proportional to 1,180.25, 1,767.63 and 904.14 is: 1,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.25 : 1,767.63 = 904.14 : x
  2. Step 2: Convert to fraction form
    1,180.25/1,767.63 = 904.14/x
  3. Step 3: Cross multiply
    1,180.25x = 1,767.63 × 904.14
  4. Step 4: Simplify right side
    1,180.25x = 1,598,184.99
  5. Step 5: Solve for x
    x = 1,598,184.99/1,180.25
  6. Step 6: Final answer
    x = 1,354.11

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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.