Home / 1,023.20-1,411.57-602.81

Finding the Fourth Proportional to 1,023.20, 1,411.57 and 602.81

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Solution

The fourth proportional to 1,023.20, 1,411.57 and 602.81 is: 831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,411.57 = 602.81 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,411.57 = 602.81/x
  3. Step 3: Cross multiply
    1,023.20x = 1,411.57 × 602.81
  4. Step 4: Simplify right side
    1,023.20x = 850,908.51
  5. Step 5: Solve for x
    x = 850,908.51/1,023.20
  6. Step 6: Final answer
    x = 831.62

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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.