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Finding the Fourth Proportional to 611.12, 912.14 and 538.22

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Solution

The fourth proportional to 611.12, 912.14 and 538.22 is: 803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.12 : 912.14 = 538.22 : x
  2. Step 2: Convert to fraction form
    611.12/912.14 = 538.22/x
  3. Step 3: Cross multiply
    611.12x = 912.14 × 538.22
  4. Step 4: Simplify right side
    611.12x = 490,931.99
  5. Step 5: Solve for x
    x = 490,931.99/611.12
  6. Step 6: Final answer
    x = 803.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.