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Finding the Fourth Proportional to 1,147.90, 1,584.09 and 705.64

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Solution

The fourth proportional to 1,147.90, 1,584.09 and 705.64 is: 973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.90 : 1,584.09 = 705.64 : x
  2. Step 2: Convert to fraction form
    1,147.90/1,584.09 = 705.64/x
  3. Step 3: Cross multiply
    1,147.90x = 1,584.09 × 705.64
  4. Step 4: Simplify right side
    1,147.90x = 1,117,797.27
  5. Step 5: Solve for x
    x = 1,117,797.27/1,147.90
  6. Step 6: Final answer
    x = 973.78

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1.5x scale

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.