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Finding the Fourth Proportional to 580.14, 870.84 and 320.13

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Solution

The fourth proportional to 580.14, 870.84 and 320.13 is: 480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 870.84 = 320.13 : x
  2. Step 2: Convert to fraction form
    580.14/870.84 = 320.13/x
  3. Step 3: Cross multiply
    580.14x = 870.84 × 320.13
  4. Step 4: Simplify right side
    580.14x = 278,782.01
  5. Step 5: Solve for x
    x = 278,782.01/580.14
  6. Step 6: Final answer
    x = 480.54

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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.