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Finding the Fourth Proportional to 1,156.72, 1,732.36 and 569.88

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Solution

The fourth proportional to 1,156.72, 1,732.36 and 569.88 is: 853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.72 : 1,732.36 = 569.88 : x
  2. Step 2: Convert to fraction form
    1,156.72/1,732.36 = 569.88/x
  3. Step 3: Cross multiply
    1,156.72x = 1,732.36 × 569.88
  4. Step 4: Simplify right side
    1,156.72x = 987,237.32
  5. Step 5: Solve for x
    x = 987,237.32/1,156.72
  6. Step 6: Final answer
    x = 853.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.