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Finding the Fourth Proportional to 973.91, 1,455.62 and 896.08

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Solution

The fourth proportional to 973.91, 1,455.62 and 896.08 is: 1,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.91 : 1,455.62 = 896.08 : x
  2. Step 2: Convert to fraction form
    973.91/1,455.62 = 896.08/x
  3. Step 3: Cross multiply
    973.91x = 1,455.62 × 896.08
  4. Step 4: Simplify right side
    973.91x = 1,304,351.97
  5. Step 5: Solve for x
    x = 1,304,351.97/973.91
  6. Step 6: Final answer
    x = 1,339.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.