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Finding the Fourth Proportional to 580.12, 873.80 and 529.08

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Solution

The fourth proportional to 580.12, 873.80 and 529.08 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 873.80 = 529.08 : x
  2. Step 2: Convert to fraction form
    580.12/873.80 = 529.08/x
  3. Step 3: Cross multiply
    580.12x = 873.80 × 529.08
  4. Step 4: Simplify right side
    580.12x = 462,310.10
  5. Step 5: Solve for x
    x = 462,310.10/580.12
  6. Step 6: Final answer
    x = 796.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.