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Finding the Fourth Proportional to 652.45, 900.05 and 442.64

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Solution

The fourth proportional to 652.45, 900.05 and 442.64 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.45 : 900.05 = 442.64 : x
  2. Step 2: Convert to fraction form
    652.45/900.05 = 442.64/x
  3. Step 3: Cross multiply
    652.45x = 900.05 × 442.64
  4. Step 4: Simplify right side
    652.45x = 398,398.13
  5. Step 5: Solve for x
    x = 398,398.13/652.45
  6. Step 6: Final answer
    x = 610.62

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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.