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Finding the Fourth Proportional to 1,022.51, 1,534.02 and 406.01

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Solution

The fourth proportional to 1,022.51, 1,534.02 and 406.01 is: 609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.51 : 1,534.02 = 406.01 : x
  2. Step 2: Convert to fraction form
    1,022.51/1,534.02 = 406.01/x
  3. Step 3: Cross multiply
    1,022.51x = 1,534.02 × 406.01
  4. Step 4: Simplify right side
    1,022.51x = 622,817.76
  5. Step 5: Solve for x
    x = 622,817.76/1,022.51
  6. Step 6: Final answer
    x = 609.11

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Double scale
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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.