Home / 1,022.31-1,410.95-602.80

Finding the Fourth Proportional to 1,022.31, 1,410.95 and 602.80

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Solution

The fourth proportional to 1,022.31, 1,410.95 and 602.80 is: 831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.31 : 1,410.95 = 602.80 : x
  2. Step 2: Convert to fraction form
    1,022.31/1,410.95 = 602.80/x
  3. Step 3: Cross multiply
    1,022.31x = 1,410.95 × 602.80
  4. Step 4: Simplify right side
    1,022.31x = 850,518.64
  5. Step 5: Solve for x
    x = 850,518.64/1,022.31
  6. Step 6: Final answer
    x = 831.96

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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.