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Finding the Fourth Proportional to 707.86, 976.87 and 471.43

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Solution

The fourth proportional to 707.86, 976.87 and 471.43 is: 650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 976.87 = 471.43 : x
  2. Step 2: Convert to fraction form
    707.86/976.87 = 471.43/x
  3. Step 3: Cross multiply
    707.86x = 976.87 × 471.43
  4. Step 4: Simplify right side
    707.86x = 460,525.82
  5. Step 5: Solve for x
    x = 460,525.82/707.86
  6. Step 6: Final answer
    x = 650.59

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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.