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Finding the Fourth Proportional to 896.50, 1,345.14 and 485.16

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Solution

The fourth proportional to 896.50, 1,345.14 and 485.16 is: 727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.50 : 1,345.14 = 485.16 : x
  2. Step 2: Convert to fraction form
    896.50/1,345.14 = 485.16/x
  3. Step 3: Cross multiply
    896.50x = 1,345.14 × 485.16
  4. Step 4: Simplify right side
    896.50x = 652,608.12
  5. Step 5: Solve for x
    x = 652,608.12/896.50
  6. Step 6: Final answer
    x = 727.95

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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.