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Finding the Fourth Proportional to 659.52, 906.84 and 589.14

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Solution

The fourth proportional to 659.52, 906.84 and 589.14 is: 810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 906.84 = 589.14 : x
  2. Step 2: Convert to fraction form
    659.52/906.84 = 589.14/x
  3. Step 3: Cross multiply
    659.52x = 906.84 × 589.14
  4. Step 4: Simplify right side
    659.52x = 534,255.72
  5. Step 5: Solve for x
    x = 534,255.72/659.52
  6. Step 6: Final answer
    x = 810.07

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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.