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Finding the Fourth Proportional to 1,166.80, 1,750.29 and 345.06

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Solution

The fourth proportional to 1,166.80, 1,750.29 and 345.06 is: 517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.80 : 1,750.29 = 345.06 : x
  2. Step 2: Convert to fraction form
    1,166.80/1,750.29 = 345.06/x
  3. Step 3: Cross multiply
    1,166.80x = 1,750.29 × 345.06
  4. Step 4: Simplify right side
    1,166.80x = 603,946.32
  5. Step 5: Solve for x
    x = 603,946.32/1,166.80
  6. Step 6: Final answer
    x = 517.61

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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.