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Finding the Fourth Proportional to 756.77, 1,044.60 and 477.47

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Solution

The fourth proportional to 756.77, 1,044.60 and 477.47 is: 659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,044.60 = 477.47 : x
  2. Step 2: Convert to fraction form
    756.77/1,044.60 = 477.47/x
  3. Step 3: Cross multiply
    756.77x = 1,044.60 × 477.47
  4. Step 4: Simplify right side
    756.77x = 498,767.77
  5. Step 5: Solve for x
    x = 498,767.77/756.77
  6. Step 6: Final answer
    x = 659.07

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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.