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Finding the Fourth Proportional to 755.99, 1,042.71 and 476

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Solution

The fourth proportional to 755.99, 1,042.71 and 476 is: 656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.99 : 1,042.71 = 476 : x
  2. Step 2: Convert to fraction form
    755.99/1,042.71 = 476/x
  3. Step 3: Cross multiply
    755.99x = 1,042.71 × 476
  4. Step 4: Simplify right side
    755.99x = 496,329.96
  5. Step 5: Solve for x
    x = 496,329.96/755.99
  6. Step 6: Final answer
    x = 656.53

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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.