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Finding the Fourth Proportional to 756.77, 1,043.97 and 476.69

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Solution

The fourth proportional to 756.77, 1,043.97 and 476.69 is: 657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,043.97 = 476.69 : x
  2. Step 2: Convert to fraction form
    756.77/1,043.97 = 476.69/x
  3. Step 3: Cross multiply
    756.77x = 1,043.97 × 476.69
  4. Step 4: Simplify right side
    756.77x = 497,650.06
  5. Step 5: Solve for x
    x = 497,650.06/756.77
  6. Step 6: Final answer
    x = 657.60

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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.