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Finding the Fourth Proportional to 590.31, 885.51 and 438.12

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Solution

The fourth proportional to 590.31, 885.51 and 438.12 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 885.51 = 438.12 : x
  2. Step 2: Convert to fraction form
    590.31/885.51 = 438.12/x
  3. Step 3: Cross multiply
    590.31x = 885.51 × 438.12
  4. Step 4: Simplify right side
    590.31x = 387,959.64
  5. Step 5: Solve for x
    x = 387,959.64/590.31
  6. Step 6: Final answer
    x = 657.21

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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.