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Finding the Fourth Proportional to 580.86, 870.57 and 360.78

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Solution

The fourth proportional to 580.86, 870.57 and 360.78 is: 540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 870.57 = 360.78 : x
  2. Step 2: Convert to fraction form
    580.86/870.57 = 360.78/x
  3. Step 3: Cross multiply
    580.86x = 870.57 × 360.78
  4. Step 4: Simplify right side
    580.86x = 314,084.24
  5. Step 5: Solve for x
    x = 314,084.24/580.86
  6. Step 6: Final answer
    x = 540.72

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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.