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Finding the Fourth Proportional to 1,047.32, 1,444.90 and 605.06

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Solution

The fourth proportional to 1,047.32, 1,444.90 and 605.06 is: 834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.32 : 1,444.90 = 605.06 : x
  2. Step 2: Convert to fraction form
    1,047.32/1,444.90 = 605.06/x
  3. Step 3: Cross multiply
    1,047.32x = 1,444.90 × 605.06
  4. Step 4: Simplify right side
    1,047.32x = 874,251.19
  5. Step 5: Solve for x
    x = 874,251.19/1,047.32
  6. Step 6: Final answer
    x = 834.75

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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.