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Finding the Fourth Proportional to 976.68, 1,347.78 and 562.68

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Solution

The fourth proportional to 976.68, 1,347.78 and 562.68 is: 776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,347.78 = 562.68 : x
  2. Step 2: Convert to fraction form
    976.68/1,347.78 = 562.68/x
  3. Step 3: Cross multiply
    976.68x = 1,347.78 × 562.68
  4. Step 4: Simplify right side
    976.68x = 758,368.85
  5. Step 5: Solve for x
    x = 758,368.85/976.68
  6. Step 6: Final answer
    x = 776.48

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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.