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Finding the Fourth Proportional to 1,354.69, 1,869.48 and 733.69

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Solution

The fourth proportional to 1,354.69, 1,869.48 and 733.69 is: 1,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.69 : 1,869.48 = 733.69 : x
  2. Step 2: Convert to fraction form
    1,354.69/1,869.48 = 733.69/x
  3. Step 3: Cross multiply
    1,354.69x = 1,869.48 × 733.69
  4. Step 4: Simplify right side
    1,354.69x = 1,371,615.11
  5. Step 5: Solve for x
    x = 1,371,615.11/1,354.69
  6. Step 6: Final answer
    x = 1,012.49

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Half scale
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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.