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Finding the Fourth Proportional to 1,022.18, 1,535.54 and 632.48

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Solution

The fourth proportional to 1,022.18, 1,535.54 and 632.48 is: 950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,535.54 = 632.48 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,535.54 = 632.48/x
  3. Step 3: Cross multiply
    1,022.18x = 1,535.54 × 632.48
  4. Step 4: Simplify right side
    1,022.18x = 971,187.50
  5. Step 5: Solve for x
    x = 971,187.50/1,022.18
  6. Step 6: Final answer
    x = 950.12

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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.