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Finding the Fourth Proportional to 1,611.53, 2,224.04 and 913.01

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Solution

The fourth proportional to 1,611.53, 2,224.04 and 913.01 is: 1,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.53 : 2,224.04 = 913.01 : x
  2. Step 2: Convert to fraction form
    1,611.53/2,224.04 = 913.01/x
  3. Step 3: Cross multiply
    1,611.53x = 2,224.04 × 913.01
  4. Step 4: Simplify right side
    1,611.53x = 2,030,566.20
  5. Step 5: Solve for x
    x = 2,030,566.20/1,611.53
  6. Step 6: Final answer
    x = 1,260.02

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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.