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Finding the Fourth Proportional to 712.19, 1,068.80 and 404.33

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Solution

The fourth proportional to 712.19, 1,068.80 and 404.33 is: 606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.19 : 1,068.80 = 404.33 : x
  2. Step 2: Convert to fraction form
    712.19/1,068.80 = 404.33/x
  3. Step 3: Cross multiply
    712.19x = 1,068.80 × 404.33
  4. Step 4: Simplify right side
    712.19x = 432,140.54
  5. Step 5: Solve for x
    x = 432,140.54/712.19
  6. Step 6: Final answer
    x = 606.77

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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.