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Finding the Fourth Proportional to 708.30, 976.32 and 475.02

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Solution

The fourth proportional to 708.30, 976.32 and 475.02 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 976.32 = 475.02 : x
  2. Step 2: Convert to fraction form
    708.30/976.32 = 475.02/x
  3. Step 3: Cross multiply
    708.30x = 976.32 × 475.02
  4. Step 4: Simplify right side
    708.30x = 463,771.53
  5. Step 5: Solve for x
    x = 463,771.53/708.30
  6. Step 6: Final answer
    x = 654.77

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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.