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Finding the Fourth Proportional to 618.71, 928.13 and 583.07

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Solution

The fourth proportional to 618.71, 928.13 and 583.07 is: 874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.71 : 928.13 = 583.07 : x
  2. Step 2: Convert to fraction form
    618.71/928.13 = 583.07/x
  3. Step 3: Cross multiply
    618.71x = 928.13 × 583.07
  4. Step 4: Simplify right side
    618.71x = 541,157.20
  5. Step 5: Solve for x
    x = 541,157.20/618.71
  6. Step 6: Final answer
    x = 874.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.