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Finding the Fourth Proportional to 668.64, 919.97 and 653.10

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Solution

The fourth proportional to 668.64, 919.97 and 653.10 is: 898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 919.97 = 653.10 : x
  2. Step 2: Convert to fraction form
    668.64/919.97 = 653.10/x
  3. Step 3: Cross multiply
    668.64x = 919.97 × 653.10
  4. Step 4: Simplify right side
    668.64x = 600,831.81
  5. Step 5: Solve for x
    x = 600,831.81/668.64
  6. Step 6: Final answer
    x = 898.59

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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.