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Finding the Fourth Proportional to 899.52, 1,241.04 and 782.88

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Solution

The fourth proportional to 899.52, 1,241.04 and 782.88 is: 1,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.52 : 1,241.04 = 782.88 : x
  2. Step 2: Convert to fraction form
    899.52/1,241.04 = 782.88/x
  3. Step 3: Cross multiply
    899.52x = 1,241.04 × 782.88
  4. Step 4: Simplify right side
    899.52x = 971,585.40
  5. Step 5: Solve for x
    x = 971,585.40/899.52
  6. Step 6: Final answer
    x = 1,080.12

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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.