Home / 1,184.40-1,634.68-904.20

Finding the Fourth Proportional to 1,184.40, 1,634.68 and 904.20

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Solution

The fourth proportional to 1,184.40, 1,634.68 and 904.20 is: 1,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.40 : 1,634.68 = 904.20 : x
  2. Step 2: Convert to fraction form
    1,184.40/1,634.68 = 904.20/x
  3. Step 3: Cross multiply
    1,184.40x = 1,634.68 × 904.20
  4. Step 4: Simplify right side
    1,184.40x = 1,478,077.66
  5. Step 5: Solve for x
    x = 1,478,077.66/1,184.40
  6. Step 6: Final answer
    x = 1,247.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.