Home / 1,149.07-1,584.90-707.21

Finding the Fourth Proportional to 1,149.07, 1,584.90 and 707.21

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Solution

The fourth proportional to 1,149.07, 1,584.90 and 707.21 is: 975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.07 : 1,584.90 = 707.21 : x
  2. Step 2: Convert to fraction form
    1,149.07/1,584.90 = 707.21/x
  3. Step 3: Cross multiply
    1,149.07x = 1,584.90 × 707.21
  4. Step 4: Simplify right side
    1,149.07x = 1,120,857.13
  5. Step 5: Solve for x
    x = 1,120,857.13/1,149.07
  6. Step 6: Final answer
    x = 975.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.