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Finding the Fourth Proportional to 1,097.46, 1,642.06 and 657.09

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Solution

The fourth proportional to 1,097.46, 1,642.06 and 657.09 is: 983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.46 : 1,642.06 = 657.09 : x
  2. Step 2: Convert to fraction form
    1,097.46/1,642.06 = 657.09/x
  3. Step 3: Cross multiply
    1,097.46x = 1,642.06 × 657.09
  4. Step 4: Simplify right side
    1,097.46x = 1,078,981.21
  5. Step 5: Solve for x
    x = 1,078,981.21/1,097.46
  6. Step 6: Final answer
    x = 983.16

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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.