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Finding the Fourth Proportional to 652.53, 900.64 and 416.43

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Solution

The fourth proportional to 652.53, 900.64 and 416.43 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.53 : 900.64 = 416.43 : x
  2. Step 2: Convert to fraction form
    652.53/900.64 = 416.43/x
  3. Step 3: Cross multiply
    652.53x = 900.64 × 416.43
  4. Step 4: Simplify right side
    652.53x = 375,049.10
  5. Step 5: Solve for x
    x = 375,049.10/652.53
  6. Step 6: Final answer
    x = 574.76

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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.