Home / 1,056.39-1,457.75-584.28

Finding the Fourth Proportional to 1,056.39, 1,457.75 and 584.28

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Solution

The fourth proportional to 1,056.39, 1,457.75 and 584.28 is: 806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.39 : 1,457.75 = 584.28 : x
  2. Step 2: Convert to fraction form
    1,056.39/1,457.75 = 584.28/x
  3. Step 3: Cross multiply
    1,056.39x = 1,457.75 × 584.28
  4. Step 4: Simplify right side
    1,056.39x = 851,732.34
  5. Step 5: Solve for x
    x = 851,732.34/1,056.39
  6. Step 6: Final answer
    x = 806.27

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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.