Home / 1,281.51-1,922.64-459.77

Finding the Fourth Proportional to 1,281.51, 1,922.64 and 459.77

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Solution

The fourth proportional to 1,281.51, 1,922.64 and 459.77 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.51 : 1,922.64 = 459.77 : x
  2. Step 2: Convert to fraction form
    1,281.51/1,922.64 = 459.77/x
  3. Step 3: Cross multiply
    1,281.51x = 1,922.64 × 459.77
  4. Step 4: Simplify right side
    1,281.51x = 883,962.58
  5. Step 5: Solve for x
    x = 883,962.58/1,281.51
  6. Step 6: Final answer
    x = 689.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.