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Finding the Fourth Proportional to 1,066.98, 1,472.22 and 673.77

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Solution

The fourth proportional to 1,066.98, 1,472.22 and 673.77 is: 929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.98 : 1,472.22 = 673.77 : x
  2. Step 2: Convert to fraction form
    1,066.98/1,472.22 = 673.77/x
  3. Step 3: Cross multiply
    1,066.98x = 1,472.22 × 673.77
  4. Step 4: Simplify right side
    1,066.98x = 991,937.67
  5. Step 5: Solve for x
    x = 991,937.67/1,066.98
  6. Step 6: Final answer
    x = 929.67

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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.