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Finding the Fourth Proportional to 589.79, 813.89 and 341.24

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Solution

The fourth proportional to 589.79, 813.89 and 341.24 is: 470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.79 : 813.89 = 341.24 : x
  2. Step 2: Convert to fraction form
    589.79/813.89 = 341.24/x
  3. Step 3: Cross multiply
    589.79x = 813.89 × 341.24
  4. Step 4: Simplify right side
    589.79x = 277,726.05
  5. Step 5: Solve for x
    x = 277,726.05/589.79
  6. Step 6: Final answer
    x = 470.89

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.