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Finding the Fourth Proportional to 870.63, 1,305.74 and 254.20

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Solution

The fourth proportional to 870.63, 1,305.74 and 254.20 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.63 : 1,305.74 = 254.20 : x
  2. Step 2: Convert to fraction form
    870.63/1,305.74 = 254.20/x
  3. Step 3: Cross multiply
    870.63x = 1,305.74 × 254.20
  4. Step 4: Simplify right side
    870.63x = 331,919.11
  5. Step 5: Solve for x
    x = 331,919.11/870.63
  6. Step 6: Final answer
    x = 381.24

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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.