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Finding the Fourth Proportional to 580.25, 870.30 and 483.37

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Solution

The fourth proportional to 580.25, 870.30 and 483.37 is: 724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 870.30 = 483.37 : x
  2. Step 2: Convert to fraction form
    580.25/870.30 = 483.37/x
  3. Step 3: Cross multiply
    580.25x = 870.30 × 483.37
  4. Step 4: Simplify right side
    580.25x = 420,674.74
  5. Step 5: Solve for x
    x = 420,674.74/580.25
  6. Step 6: Final answer
    x = 724.99

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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.