Home / 1,097.07-1,646.40-438.57

Finding the Fourth Proportional to 1,097.07, 1,646.40 and 438.57

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Solution

The fourth proportional to 1,097.07, 1,646.40 and 438.57 is: 658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.07 : 1,646.40 = 438.57 : x
  2. Step 2: Convert to fraction form
    1,097.07/1,646.40 = 438.57/x
  3. Step 3: Cross multiply
    1,097.07x = 1,646.40 × 438.57
  4. Step 4: Simplify right side
    1,097.07x = 722,061.65
  5. Step 5: Solve for x
    x = 722,061.65/1,097.07
  6. Step 6: Final answer
    x = 658.17

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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.