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Finding the Fourth Proportional to 659.16, 909.16 and 422.90

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Solution

The fourth proportional to 659.16, 909.16 and 422.90 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 909.16 = 422.90 : x
  2. Step 2: Convert to fraction form
    659.16/909.16 = 422.90/x
  3. Step 3: Cross multiply
    659.16x = 909.16 × 422.90
  4. Step 4: Simplify right side
    659.16x = 384,483.76
  5. Step 5: Solve for x
    x = 384,483.76/659.16
  6. Step 6: Final answer
    x = 583.29

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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.