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Finding the Fourth Proportional to 662.52, 907.64 and 637.90

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Solution

The fourth proportional to 662.52, 907.64 and 637.90 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.52 : 907.64 = 637.90 : x
  2. Step 2: Convert to fraction form
    662.52/907.64 = 637.90/x
  3. Step 3: Cross multiply
    662.52x = 907.64 × 637.90
  4. Step 4: Simplify right side
    662.52x = 578,983.56
  5. Step 5: Solve for x
    x = 578,983.56/662.52
  6. Step 6: Final answer
    x = 873.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.