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Finding the Fourth Proportional to 1,045.97, 1,561.32 and 969.83

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Solution

The fourth proportional to 1,045.97, 1,561.32 and 969.83 is: 1,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.97 : 1,561.32 = 969.83 : x
  2. Step 2: Convert to fraction form
    1,045.97/1,561.32 = 969.83/x
  3. Step 3: Cross multiply
    1,045.97x = 1,561.32 × 969.83
  4. Step 4: Simplify right side
    1,045.97x = 1,514,214.98
  5. Step 5: Solve for x
    x = 1,514,214.98/1,045.97
  6. Step 6: Final answer
    x = 1,447.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.