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Finding the Fourth Proportional to 896.97, 1,345.47 and 410.16

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Solution

The fourth proportional to 896.97, 1,345.47 and 410.16 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.97 : 1,345.47 = 410.16 : x
  2. Step 2: Convert to fraction form
    896.97/1,345.47 = 410.16/x
  3. Step 3: Cross multiply
    896.97x = 1,345.47 × 410.16
  4. Step 4: Simplify right side
    896.97x = 551,857.98
  5. Step 5: Solve for x
    x = 551,857.98/896.97
  6. Step 6: Final answer
    x = 615.25

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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.