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Finding the Fourth Proportional to 589.57, 813.60 and 340.72

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Solution

The fourth proportional to 589.57, 813.60 and 340.72 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.57 : 813.60 = 340.72 : x
  2. Step 2: Convert to fraction form
    589.57/813.60 = 340.72/x
  3. Step 3: Cross multiply
    589.57x = 813.60 × 340.72
  4. Step 4: Simplify right side
    589.57x = 277,207.76
  5. Step 5: Solve for x
    x = 277,207.76/589.57
  6. Step 6: Final answer
    x = 470.19

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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.