Home / 1,023.02-1,411.19-629.77

Finding the Fourth Proportional to 1,023.02, 1,411.19 and 629.77

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Solution

The fourth proportional to 1,023.02, 1,411.19 and 629.77 is: 868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.02 : 1,411.19 = 629.77 : x
  2. Step 2: Convert to fraction form
    1,023.02/1,411.19 = 629.77/x
  3. Step 3: Cross multiply
    1,023.02x = 1,411.19 × 629.77
  4. Step 4: Simplify right side
    1,023.02x = 888,714.92
  5. Step 5: Solve for x
    x = 888,714.92/1,023.02
  6. Step 6: Final answer
    x = 868.72

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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.