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Finding the Fourth Proportional to 1,025.24, 1,538.16 and 538.22

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Solution

The fourth proportional to 1,025.24, 1,538.16 and 538.22 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.24 : 1,538.16 = 538.22 : x
  2. Step 2: Convert to fraction form
    1,025.24/1,538.16 = 538.22/x
  3. Step 3: Cross multiply
    1,025.24x = 1,538.16 × 538.22
  4. Step 4: Simplify right side
    1,025.24x = 827,868.48
  5. Step 5: Solve for x
    x = 827,868.48/1,025.24
  6. Step 6: Final answer
    x = 807.49

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Double scale
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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.