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Finding the Fourth Proportional to 1,022.12, 1,530.30 and 657.32

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Solution

The fourth proportional to 1,022.12, 1,530.30 and 657.32 is: 984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.12 : 1,530.30 = 657.32 : x
  2. Step 2: Convert to fraction form
    1,022.12/1,530.30 = 657.32/x
  3. Step 3: Cross multiply
    1,022.12x = 1,530.30 × 657.32
  4. Step 4: Simplify right side
    1,022.12x = 1,005,896.80
  5. Step 5: Solve for x
    x = 1,005,896.80/1,022.12
  6. Step 6: Final answer
    x = 984.13

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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.