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Finding the Fourth Proportional to 743.70, 1,026.27 and 477.77

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Solution

The fourth proportional to 743.70, 1,026.27 and 477.77 is: 659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.70 : 1,026.27 = 477.77 : x
  2. Step 2: Convert to fraction form
    743.70/1,026.27 = 477.77/x
  3. Step 3: Cross multiply
    743.70x = 1,026.27 × 477.77
  4. Step 4: Simplify right side
    743.70x = 490,321.02
  5. Step 5: Solve for x
    x = 490,321.02/743.70
  6. Step 6: Final answer
    x = 659.30

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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.