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Finding the Fourth Proportional to 870.06, 1,305.24 and 284.90

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Solution

The fourth proportional to 870.06, 1,305.24 and 284.90 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.06 : 1,305.24 = 284.90 : x
  2. Step 2: Convert to fraction form
    870.06/1,305.24 = 284.90/x
  3. Step 3: Cross multiply
    870.06x = 1,305.24 × 284.90
  4. Step 4: Simplify right side
    870.06x = 371,855.28
  5. Step 5: Solve for x
    x = 371,855.28/870.06
  6. Step 6: Final answer
    x = 427.39

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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.