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Finding the Fourth Proportional to 475.17, 653.64 and 448.29

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Solution

The fourth proportional to 475.17, 653.64 and 448.29 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.17 : 653.64 = 448.29 : x
  2. Step 2: Convert to fraction form
    475.17/653.64 = 448.29/x
  3. Step 3: Cross multiply
    475.17x = 653.64 × 448.29
  4. Step 4: Simplify right side
    475.17x = 293,020.28
  5. Step 5: Solve for x
    x = 293,020.28/475.17
  6. Step 6: Final answer
    x = 616.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.