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Finding the Fourth Proportional to 1,158.94, 1,598.88 and 739.21

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Solution

The fourth proportional to 1,158.94, 1,598.88 and 739.21 is: 1,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.94 : 1,598.88 = 739.21 : x
  2. Step 2: Convert to fraction form
    1,158.94/1,598.88 = 739.21/x
  3. Step 3: Cross multiply
    1,158.94x = 1,598.88 × 739.21
  4. Step 4: Simplify right side
    1,158.94x = 1,181,908.08
  5. Step 5: Solve for x
    x = 1,181,908.08/1,158.94
  6. Step 6: Final answer
    x = 1,019.82

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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.