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Finding the Fourth Proportional to 659.20, 909.48 and 473.44

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Solution

The fourth proportional to 659.20, 909.48 and 473.44 is: 653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 909.48 = 473.44 : x
  2. Step 2: Convert to fraction form
    659.20/909.48 = 473.44/x
  3. Step 3: Cross multiply
    659.20x = 909.48 × 473.44
  4. Step 4: Simplify right side
    659.20x = 430,584.21
  5. Step 5: Solve for x
    x = 430,584.21/659.20
  6. Step 6: Final answer
    x = 653.19

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Double scale
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1.5x scale

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.