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Finding the Fourth Proportional to 1,165.64, 1,608.39 and 746.46

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Solution

The fourth proportional to 1,165.64, 1,608.39 and 746.46 is: 1,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,608.39 = 746.46 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,608.39 = 746.46/x
  3. Step 3: Cross multiply
    1,165.64x = 1,608.39 × 746.46
  4. Step 4: Simplify right side
    1,165.64x = 1,200,598.80
  5. Step 5: Solve for x
    x = 1,200,598.80/1,165.64
  6. Step 6: Final answer
    x = 1,030.00

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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.