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Finding the Fourth Proportional to 606.52, 907.62 and 442.18

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Solution

The fourth proportional to 606.52, 907.62 and 442.18 is: 661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.52 : 907.62 = 442.18 : x
  2. Step 2: Convert to fraction form
    606.52/907.62 = 442.18/x
  3. Step 3: Cross multiply
    606.52x = 907.62 × 442.18
  4. Step 4: Simplify right side
    606.52x = 401,331.41
  5. Step 5: Solve for x
    x = 401,331.41/606.52
  6. Step 6: Final answer
    x = 661.70

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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.