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Finding the Fourth Proportional to 606.90, 909.24 and 584.40

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Solution

The fourth proportional to 606.90, 909.24 and 584.40 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.90 : 909.24 = 584.40 : x
  2. Step 2: Convert to fraction form
    606.90/909.24 = 584.40/x
  3. Step 3: Cross multiply
    606.90x = 909.24 × 584.40
  4. Step 4: Simplify right side
    606.90x = 531,359.86
  5. Step 5: Solve for x
    x = 531,359.86/606.90
  6. Step 6: Final answer
    x = 875.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.