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Finding the Fourth Proportional to 1,128.21, 1,555.91 and 708.60

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Solution

The fourth proportional to 1,128.21, 1,555.91 and 708.60 is: 977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.21 : 1,555.91 = 708.60 : x
  2. Step 2: Convert to fraction form
    1,128.21/1,555.91 = 708.60/x
  3. Step 3: Cross multiply
    1,128.21x = 1,555.91 × 708.60
  4. Step 4: Simplify right side
    1,128.21x = 1,102,510.05
  5. Step 5: Solve for x
    x = 1,102,510.05/1,128.21
  6. Step 6: Final answer
    x = 977.22

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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.