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Finding the Fourth Proportional to 580.45, 870.46 and 190.35

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Solution

The fourth proportional to 580.45, 870.46 and 190.35 is: 285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.45 : 870.46 = 190.35 : x
  2. Step 2: Convert to fraction form
    580.45/870.46 = 190.35/x
  3. Step 3: Cross multiply
    580.45x = 870.46 × 190.35
  4. Step 4: Simplify right side
    580.45x = 165,692.06
  5. Step 5: Solve for x
    x = 165,692.06/580.45
  6. Step 6: Final answer
    x = 285.45

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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.