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Finding the Fourth Proportional to 590.79, 885.54 and 200.41

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Solution

The fourth proportional to 590.79, 885.54 and 200.41 is: 300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.79 : 885.54 = 200.41 : x
  2. Step 2: Convert to fraction form
    590.79/885.54 = 200.41/x
  3. Step 3: Cross multiply
    590.79x = 885.54 × 200.41
  4. Step 4: Simplify right side
    590.79x = 177,471.07
  5. Step 5: Solve for x
    x = 177,471.07/590.79
  6. Step 6: Final answer
    x = 300.40

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1.5x scale

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.