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Finding the Fourth Proportional to 1,686.98, 2,530.76 and 576.47

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Solution

The fourth proportional to 1,686.98, 2,530.76 and 576.47 is: 864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.98 : 2,530.76 = 576.47 : x
  2. Step 2: Convert to fraction form
    1,686.98/2,530.76 = 576.47/x
  3. Step 3: Cross multiply
    1,686.98x = 2,530.76 × 576.47
  4. Step 4: Simplify right side
    1,686.98x = 1,458,910.66
  5. Step 5: Solve for x
    x = 1,458,910.66/1,686.98
  6. Step 6: Final answer
    x = 864.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.