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Finding the Fourth Proportional to 707.22, 976.30 and 471.30

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Solution

The fourth proportional to 707.22, 976.30 and 471.30 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.22 : 976.30 = 471.30 : x
  2. Step 2: Convert to fraction form
    707.22/976.30 = 471.30/x
  3. Step 3: Cross multiply
    707.22x = 976.30 × 471.30
  4. Step 4: Simplify right side
    707.22x = 460,130.19
  5. Step 5: Solve for x
    x = 460,130.19/707.22
  6. Step 6: Final answer
    x = 650.62

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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.