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Finding the Fourth Proportional to 618.32, 852.57 and 580.65

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Solution

The fourth proportional to 618.32, 852.57 and 580.65 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.32 : 852.57 = 580.65 : x
  2. Step 2: Convert to fraction form
    618.32/852.57 = 580.65/x
  3. Step 3: Cross multiply
    618.32x = 852.57 × 580.65
  4. Step 4: Simplify right side
    618.32x = 495,044.77
  5. Step 5: Solve for x
    x = 495,044.77/618.32
  6. Step 6: Final answer
    x = 800.64

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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.