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Finding the Fourth Proportional to 1,022.18, 1,411.14 and 673.42

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Solution

The fourth proportional to 1,022.18, 1,411.14 and 673.42 is: 929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,411.14 = 673.42 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,411.14 = 673.42/x
  3. Step 3: Cross multiply
    1,022.18x = 1,411.14 × 673.42
  4. Step 4: Simplify right side
    1,022.18x = 950,289.90
  5. Step 5: Solve for x
    x = 950,289.90/1,022.18
  6. Step 6: Final answer
    x = 929.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.