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Finding the Fourth Proportional to 652.46, 899.56 and 475.67

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Solution

The fourth proportional to 652.46, 899.56 and 475.67 is: 655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.46 : 899.56 = 475.67 : x
  2. Step 2: Convert to fraction form
    652.46/899.56 = 475.67/x
  3. Step 3: Cross multiply
    652.46x = 899.56 × 475.67
  4. Step 4: Simplify right side
    652.46x = 427,893.87
  5. Step 5: Solve for x
    x = 427,893.87/652.46
  6. Step 6: Final answer
    x = 655.82

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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.