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Finding the Fourth Proportional to 442.60, 607.77 and 354.60

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Solution

The fourth proportional to 442.60, 607.77 and 354.60 is: 486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 607.77 = 354.60 : x
  2. Step 2: Convert to fraction form
    442.60/607.77 = 354.60/x
  3. Step 3: Cross multiply
    442.60x = 607.77 × 354.60
  4. Step 4: Simplify right side
    442.60x = 215,515.24
  5. Step 5: Solve for x
    x = 215,515.24/442.60
  6. Step 6: Final answer
    x = 486.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.