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Finding the Fourth Proportional to 659.08, 897.34 and 657.02

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Solution

The fourth proportional to 659.08, 897.34 and 657.02 is: 894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.08 : 897.34 = 657.02 : x
  2. Step 2: Convert to fraction form
    659.08/897.34 = 657.02/x
  3. Step 3: Cross multiply
    659.08x = 897.34 × 657.02
  4. Step 4: Simplify right side
    659.08x = 589,570.93
  5. Step 5: Solve for x
    x = 589,570.93/659.08
  6. Step 6: Final answer
    x = 894.54

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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.