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Finding the Fourth Proportional to 580.21, 870.70 and 385.43

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Solution

The fourth proportional to 580.21, 870.70 and 385.43 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.21 : 870.70 = 385.43 : x
  2. Step 2: Convert to fraction form
    580.21/870.70 = 385.43/x
  3. Step 3: Cross multiply
    580.21x = 870.70 × 385.43
  4. Step 4: Simplify right side
    580.21x = 335,593.90
  5. Step 5: Solve for x
    x = 335,593.90/580.21
  6. Step 6: Final answer
    x = 578.41

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Double scale
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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.