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Finding the Fourth Proportional to 820.58, 1,230.87 and 580.01

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Solution

The fourth proportional to 820.58, 1,230.87 and 580.01 is: 870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.58 : 1,230.87 = 580.01 : x
  2. Step 2: Convert to fraction form
    820.58/1,230.87 = 580.01/x
  3. Step 3: Cross multiply
    820.58x = 1,230.87 × 580.01
  4. Step 4: Simplify right side
    820.58x = 713,918.22
  5. Step 5: Solve for x
    x = 713,918.22/820.58
  6. Step 6: Final answer
    x = 870.02

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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.