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Finding the Fourth Proportional to 899.72, 1,240.79 and 567.57

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Solution

The fourth proportional to 899.72, 1,240.79 and 567.57 is: 782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,240.79 = 567.57 : x
  2. Step 2: Convert to fraction form
    899.72/1,240.79 = 567.57/x
  3. Step 3: Cross multiply
    899.72x = 1,240.79 × 567.57
  4. Step 4: Simplify right side
    899.72x = 704,235.18
  5. Step 5: Solve for x
    x = 704,235.18/899.72
  6. Step 6: Final answer
    x = 782.73

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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.