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Finding the Fourth Proportional to 1,040.20, 1,435.41 and 598.07

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Solution

The fourth proportional to 1,040.20, 1,435.41 and 598.07 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.20 : 1,435.41 = 598.07 : x
  2. Step 2: Convert to fraction form
    1,040.20/1,435.41 = 598.07/x
  3. Step 3: Cross multiply
    1,040.20x = 1,435.41 × 598.07
  4. Step 4: Simplify right side
    1,040.20x = 858,479.25
  5. Step 5: Solve for x
    x = 858,479.25/1,040.20
  6. Step 6: Final answer
    x = 825.30

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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.