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Finding the Fourth Proportional to 575.97, 859.77 and 506.78

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Solution

The fourth proportional to 575.97, 859.77 and 506.78 is: 756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.97 : 859.77 = 506.78 : x
  2. Step 2: Convert to fraction form
    575.97/859.77 = 506.78/x
  3. Step 3: Cross multiply
    575.97x = 859.77 × 506.78
  4. Step 4: Simplify right side
    575.97x = 435,714.24
  5. Step 5: Solve for x
    x = 435,714.24/575.97
  6. Step 6: Final answer
    x = 756.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.