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Finding the Fourth Proportional to 1,166.49, 1,750.10 and 344.77

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Solution

The fourth proportional to 1,166.49, 1,750.10 and 344.77 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.49 : 1,750.10 = 344.77 : x
  2. Step 2: Convert to fraction form
    1,166.49/1,750.10 = 344.77/x
  3. Step 3: Cross multiply
    1,166.49x = 1,750.10 × 344.77
  4. Step 4: Simplify right side
    1,166.49x = 603,374.09
  5. Step 5: Solve for x
    x = 603,374.09/1,166.49
  6. Step 6: Final answer
    x = 517.26

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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.