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Finding the Fourth Proportional to 442.80, 610.20 and 437.40

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Solution

The fourth proportional to 442.80, 610.20 and 437.40 is: 602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 610.20 = 437.40 : x
  2. Step 2: Convert to fraction form
    442.80/610.20 = 437.40/x
  3. Step 3: Cross multiply
    442.80x = 610.20 × 437.40
  4. Step 4: Simplify right side
    442.80x = 266,901.48
  5. Step 5: Solve for x
    x = 266,901.48/442.80
  6. Step 6: Final answer
    x = 602.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.