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Finding the Fourth Proportional to 659.02, 897.25 and 656.96

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Solution

The fourth proportional to 659.02, 897.25 and 656.96 is: 894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 897.25 = 656.96 : x
  2. Step 2: Convert to fraction form
    659.02/897.25 = 656.96/x
  3. Step 3: Cross multiply
    659.02x = 897.25 × 656.96
  4. Step 4: Simplify right side
    659.02x = 589,452.87
  5. Step 5: Solve for x
    x = 589,452.87/659.02
  6. Step 6: Final answer
    x = 894.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.