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Finding the Fourth Proportional to 589.75, 813.85 and 341.07

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Solution

The fourth proportional to 589.75, 813.85 and 341.07 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.75 : 813.85 = 341.07 : x
  2. Step 2: Convert to fraction form
    589.75/813.85 = 341.07/x
  3. Step 3: Cross multiply
    589.75x = 813.85 × 341.07
  4. Step 4: Simplify right side
    589.75x = 277,579.82
  5. Step 5: Solve for x
    x = 277,579.82/589.75
  6. Step 6: Final answer
    x = 470.67

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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.