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Finding the Fourth Proportional to 580.80, 870.45 and 255.89

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Solution

The fourth proportional to 580.80, 870.45 and 255.89 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 870.45 = 255.89 : x
  2. Step 2: Convert to fraction form
    580.80/870.45 = 255.89/x
  3. Step 3: Cross multiply
    580.80x = 870.45 × 255.89
  4. Step 4: Simplify right side
    580.80x = 222,740.67
  5. Step 5: Solve for x
    x = 222,740.67/580.80
  6. Step 6: Final answer
    x = 383.50

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Similar ratio
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1.5x scale

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.