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Finding the Fourth Proportional to 580.94, 870.79 and 398.28

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Solution

The fourth proportional to 580.94, 870.79 and 398.28 is: 596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 870.79 = 398.28 : x
  2. Step 2: Convert to fraction form
    580.94/870.79 = 398.28/x
  3. Step 3: Cross multiply
    580.94x = 870.79 × 398.28
  4. Step 4: Simplify right side
    580.94x = 346,818.24
  5. Step 5: Solve for x
    x = 346,818.24/580.94
  6. Step 6: Final answer
    x = 596.99

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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.