Home / 1,166.35-1,747.98-435.19

Finding the Fourth Proportional to 1,166.35, 1,747.98 and 435.19

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Solution

The fourth proportional to 1,166.35, 1,747.98 and 435.19 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.35 : 1,747.98 = 435.19 : x
  2. Step 2: Convert to fraction form
    1,166.35/1,747.98 = 435.19/x
  3. Step 3: Cross multiply
    1,166.35x = 1,747.98 × 435.19
  4. Step 4: Simplify right side
    1,166.35x = 760,703.42
  5. Step 5: Solve for x
    x = 760,703.42/1,166.35
  6. Step 6: Final answer
    x = 652.21

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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.