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Finding the Fourth Proportional to 662.52, 917.85 and 653.16

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Solution

The fourth proportional to 662.52, 917.85 and 653.16 is: 904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.52 : 917.85 = 653.16 : x
  2. Step 2: Convert to fraction form
    662.52/917.85 = 653.16/x
  3. Step 3: Cross multiply
    662.52x = 917.85 × 653.16
  4. Step 4: Simplify right side
    662.52x = 599,502.91
  5. Step 5: Solve for x
    x = 599,502.91/662.52
  6. Step 6: Final answer
    x = 904.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.