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Finding the Fourth Proportional to 589.39, 813.40 and 340.76

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Solution

The fourth proportional to 589.39, 813.40 and 340.76 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.39 : 813.40 = 340.76 : x
  2. Step 2: Convert to fraction form
    589.39/813.40 = 340.76/x
  3. Step 3: Cross multiply
    589.39x = 813.40 × 340.76
  4. Step 4: Simplify right side
    589.39x = 277,174.18
  5. Step 5: Solve for x
    x = 277,174.18/589.39
  6. Step 6: Final answer
    x = 470.27

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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.