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Finding the Fourth Proportional to 1,158.74, 1,599.58 and 739.66

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Solution

The fourth proportional to 1,158.74, 1,599.58 and 739.66 is: 1,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.74 : 1,599.58 = 739.66 : x
  2. Step 2: Convert to fraction form
    1,158.74/1,599.58 = 739.66/x
  3. Step 3: Cross multiply
    1,158.74x = 1,599.58 × 739.66
  4. Step 4: Simplify right side
    1,158.74x = 1,183,145.34
  5. Step 5: Solve for x
    x = 1,183,145.34/1,158.74
  6. Step 6: Final answer
    x = 1,021.06

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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.