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Finding the Fourth Proportional to 476.16, 717.44 and 430.56

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Solution

The fourth proportional to 476.16, 717.44 and 430.56 is: 648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 717.44 = 430.56 : x
  2. Step 2: Convert to fraction form
    476.16/717.44 = 430.56/x
  3. Step 3: Cross multiply
    476.16x = 717.44 × 430.56
  4. Step 4: Simplify right side
    476.16x = 308,900.97
  5. Step 5: Solve for x
    x = 308,900.97/476.16
  6. Step 6: Final answer
    x = 648.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.