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Finding the Fourth Proportional to 442.95, 659.58 and 438.06

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Solution

The fourth proportional to 442.95, 659.58 and 438.06 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.95 : 659.58 = 438.06 : x
  2. Step 2: Convert to fraction form
    442.95/659.58 = 438.06/x
  3. Step 3: Cross multiply
    442.95x = 659.58 × 438.06
  4. Step 4: Simplify right side
    442.95x = 288,934.79
  5. Step 5: Solve for x
    x = 288,934.79/442.95
  6. Step 6: Final answer
    x = 652.29

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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.