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Finding the Fourth Proportional to 1,490.77, 2,236.05 and 613.04

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Solution

The fourth proportional to 1,490.77, 2,236.05 and 613.04 is: 919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.77 : 2,236.05 = 613.04 : x
  2. Step 2: Convert to fraction form
    1,490.77/2,236.05 = 613.04/x
  3. Step 3: Cross multiply
    1,490.77x = 2,236.05 × 613.04
  4. Step 4: Simplify right side
    1,490.77x = 1,370,773.85
  5. Step 5: Solve for x
    x = 1,370,773.85/1,490.77
  6. Step 6: Final answer
    x = 919.51

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1.5x scale

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.