Home / 1,002.07-1,382.75-582.36

Finding the Fourth Proportional to 1,002.07, 1,382.75 and 582.36

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Solution

The fourth proportional to 1,002.07, 1,382.75 and 582.36 is: 803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.07 : 1,382.75 = 582.36 : x
  2. Step 2: Convert to fraction form
    1,002.07/1,382.75 = 582.36/x
  3. Step 3: Cross multiply
    1,002.07x = 1,382.75 × 582.36
  4. Step 4: Simplify right side
    1,002.07x = 805,262.41
  5. Step 5: Solve for x
    x = 805,262.41/1,002.07
  6. Step 6: Final answer
    x = 803.60

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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.