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Finding the Fourth Proportional to 652.67, 900.74 and 475.69

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Solution

The fourth proportional to 652.67, 900.74 and 475.69 is: 656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.67 : 900.74 = 475.69 : x
  2. Step 2: Convert to fraction form
    652.67/900.74 = 475.69/x
  3. Step 3: Cross multiply
    652.67x = 900.74 × 475.69
  4. Step 4: Simplify right side
    652.67x = 428,473.01
  5. Step 5: Solve for x
    x = 428,473.01/652.67
  6. Step 6: Final answer
    x = 656.49

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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.