Home / 1,022.18-1,410.54-602.60

Finding the Fourth Proportional to 1,022.18, 1,410.54 and 602.60

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Solution

The fourth proportional to 1,022.18, 1,410.54 and 602.60 is: 831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,410.54 = 602.60 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,410.54 = 602.60/x
  3. Step 3: Cross multiply
    1,022.18x = 1,410.54 × 602.60
  4. Step 4: Simplify right side
    1,022.18x = 849,991.40
  5. Step 5: Solve for x
    x = 849,991.40/1,022.18
  6. Step 6: Final answer
    x = 831.55

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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.