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Finding the Fourth Proportional to 539.30, 808.95 and 442.10

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Solution

The fourth proportional to 539.30, 808.95 and 442.10 is: 663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.30 : 808.95 = 442.10 : x
  2. Step 2: Convert to fraction form
    539.30/808.95 = 442.10/x
  3. Step 3: Cross multiply
    539.30x = 808.95 × 442.10
  4. Step 4: Simplify right side
    539.30x = 357,636.80
  5. Step 5: Solve for x
    x = 357,636.80/539.30
  6. Step 6: Final answer
    x = 663.15

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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.