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Finding the Fourth Proportional to 580.91, 870.83 and 375.57

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Solution

The fourth proportional to 580.91, 870.83 and 375.57 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 870.83 = 375.57 : x
  2. Step 2: Convert to fraction form
    580.91/870.83 = 375.57/x
  3. Step 3: Cross multiply
    580.91x = 870.83 × 375.57
  4. Step 4: Simplify right side
    580.91x = 327,055.75
  5. Step 5: Solve for x
    x = 327,055.75/580.91
  6. Step 6: Final answer
    x = 563.01

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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.