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Finding the Fourth Proportional to 587.16, 878.94 and 370.08

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Solution

The fourth proportional to 587.16, 878.94 and 370.08 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 878.94 = 370.08 : x
  2. Step 2: Convert to fraction form
    587.16/878.94 = 370.08/x
  3. Step 3: Cross multiply
    587.16x = 878.94 × 370.08
  4. Step 4: Simplify right side
    587.16x = 325,278.12
  5. Step 5: Solve for x
    x = 325,278.12/587.16
  6. Step 6: Final answer
    x = 553.99

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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.