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Finding the Fourth Proportional to 580.65, 870.89 and 215.36

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Solution

The fourth proportional to 580.65, 870.89 and 215.36 is: 323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.65 : 870.89 = 215.36 : x
  2. Step 2: Convert to fraction form
    580.65/870.89 = 215.36/x
  3. Step 3: Cross multiply
    580.65x = 870.89 × 215.36
  4. Step 4: Simplify right side
    580.65x = 187,554.87
  5. Step 5: Solve for x
    x = 187,554.87/580.65
  6. Step 6: Final answer
    x = 323.01

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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.