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Finding the Fourth Proportional to 743.70, 1,026.37 and 412.19

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Solution

The fourth proportional to 743.70, 1,026.37 and 412.19 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.70 : 1,026.37 = 412.19 : x
  2. Step 2: Convert to fraction form
    743.70/1,026.37 = 412.19/x
  3. Step 3: Cross multiply
    743.70x = 1,026.37 × 412.19
  4. Step 4: Simplify right side
    743.70x = 423,059.45
  5. Step 5: Solve for x
    x = 423,059.45/743.70
  6. Step 6: Final answer
    x = 568.86

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Double 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.