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Finding the Fourth Proportional to 1,166.32, 1,609.84 and 746.64

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Solution

The fourth proportional to 1,166.32, 1,609.84 and 746.64 is: 1,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.32 : 1,609.84 = 746.64 : x
  2. Step 2: Convert to fraction form
    1,166.32/1,609.84 = 746.64/x
  3. Step 3: Cross multiply
    1,166.32x = 1,609.84 × 746.64
  4. Step 4: Simplify right side
    1,166.32x = 1,201,970.94
  5. Step 5: Solve for x
    x = 1,201,970.94/1,166.32
  6. Step 6: Final answer
    x = 1,030.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.