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Finding the Fourth Proportional to 1,004.88, 1,387.12 and 710.64

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Solution

The fourth proportional to 1,004.88, 1,387.12 and 710.64 is: 980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.88 : 1,387.12 = 710.64 : x
  2. Step 2: Convert to fraction form
    1,004.88/1,387.12 = 710.64/x
  3. Step 3: Cross multiply
    1,004.88x = 1,387.12 × 710.64
  4. Step 4: Simplify right side
    1,004.88x = 985,742.96
  5. Step 5: Solve for x
    x = 985,742.96/1,004.88
  6. Step 6: Final answer
    x = 980.96

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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.