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Finding the Fourth Proportional to 442.18, 659.45 and 377.59

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Solution

The fourth proportional to 442.18, 659.45 and 377.59 is: 563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.18 : 659.45 = 377.59 : x
  2. Step 2: Convert to fraction form
    442.18/659.45 = 377.59/x
  3. Step 3: Cross multiply
    442.18x = 659.45 × 377.59
  4. Step 4: Simplify right side
    442.18x = 249,001.73
  5. Step 5: Solve for x
    x = 249,001.73/442.18
  6. Step 6: Final answer
    x = 563.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.