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Finding the Fourth Proportional to 1,612.16, 2,224.81 and 904.16

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Solution

The fourth proportional to 1,612.16, 2,224.81 and 904.16 is: 1,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.16 : 2,224.81 = 904.16 : x
  2. Step 2: Convert to fraction form
    1,612.16/2,224.81 = 904.16/x
  3. Step 3: Cross multiply
    1,612.16x = 2,224.81 × 904.16
  4. Step 4: Simplify right side
    1,612.16x = 2,011,588.36
  5. Step 5: Solve for x
    x = 2,011,588.36/1,612.16
  6. Step 6: Final answer
    x = 1,247.76

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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.