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Finding the Fourth Proportional to 976.69, 1,347.72 and 556.91

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Solution

The fourth proportional to 976.69, 1,347.72 and 556.91 is: 768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.69 : 1,347.72 = 556.91 : x
  2. Step 2: Convert to fraction form
    976.69/1,347.72 = 556.91/x
  3. Step 3: Cross multiply
    976.69x = 1,347.72 × 556.91
  4. Step 4: Simplify right side
    976.69x = 750,552.01
  5. Step 5: Solve for x
    x = 750,552.01/976.69
  6. Step 6: Final answer
    x = 768.47

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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.