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Finding the Fourth Proportional to 606.08, 909.20 and 435.20

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Solution

The fourth proportional to 606.08, 909.20 and 435.20 is: 652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.08 : 909.20 = 435.20 : x
  2. Step 2: Convert to fraction form
    606.08/909.20 = 435.20/x
  3. Step 3: Cross multiply
    606.08x = 909.20 × 435.20
  4. Step 4: Simplify right side
    606.08x = 395,683.84
  5. Step 5: Solve for x
    x = 395,683.84/606.08
  6. Step 6: Final answer
    x = 652.86

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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.