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Finding the Fourth Proportional to 743.86, 1,026.03 and 478.39

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Solution

The fourth proportional to 743.86, 1,026.03 and 478.39 is: 659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.86 : 1,026.03 = 478.39 : x
  2. Step 2: Convert to fraction form
    743.86/1,026.03 = 478.39/x
  3. Step 3: Cross multiply
    743.86x = 1,026.03 × 478.39
  4. Step 4: Simplify right side
    743.86x = 490,842.49
  5. Step 5: Solve for x
    x = 490,842.49/743.86
  6. Step 6: Final answer
    x = 659.86

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Double scale
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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.