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Finding the Fourth Proportional to 899.71, 1,241.12 and 567.56

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Solution

The fourth proportional to 899.71, 1,241.12 and 567.56 is: 782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.71 : 1,241.12 = 567.56 : x
  2. Step 2: Convert to fraction form
    899.71/1,241.12 = 567.56/x
  3. Step 3: Cross multiply
    899.71x = 1,241.12 × 567.56
  4. Step 4: Simplify right side
    899.71x = 704,407.61
  5. Step 5: Solve for x
    x = 704,407.61/899.71
  6. Step 6: Final answer
    x = 782.93

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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.