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Finding the Fourth Proportional to 1,166.85, 1,750.50 and 397.35

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Solution

The fourth proportional to 1,166.85, 1,750.50 and 397.35 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.85 : 1,750.50 = 397.35 : x
  2. Step 2: Convert to fraction form
    1,166.85/1,750.50 = 397.35/x
  3. Step 3: Cross multiply
    1,166.85x = 1,750.50 × 397.35
  4. Step 4: Simplify right side
    1,166.85x = 695,561.18
  5. Step 5: Solve for x
    x = 695,561.18/1,166.85
  6. Step 6: Final answer
    x = 596.10

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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.