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Finding the Fourth Proportional to 581.31, 870.64 and 408.75

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Solution

The fourth proportional to 581.31, 870.64 and 408.75 is: 612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.31 : 870.64 = 408.75 : x
  2. Step 2: Convert to fraction form
    581.31/870.64 = 408.75/x
  3. Step 3: Cross multiply
    581.31x = 870.64 × 408.75
  4. Step 4: Simplify right side
    581.31x = 355,874.10
  5. Step 5: Solve for x
    x = 355,874.10/581.31
  6. Step 6: Final answer
    x = 612.19

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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.