Home / 1,056.31-1,457.67-584.23

Finding the Fourth Proportional to 1,056.31, 1,457.67 and 584.23

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Solution

The fourth proportional to 1,056.31, 1,457.67 and 584.23 is: 806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.31 : 1,457.67 = 584.23 : x
  2. Step 2: Convert to fraction form
    1,056.31/1,457.67 = 584.23/x
  3. Step 3: Cross multiply
    1,056.31x = 1,457.67 × 584.23
  4. Step 4: Simplify right side
    1,056.31x = 851,614.18
  5. Step 5: Solve for x
    x = 851,614.18/1,056.31
  6. Step 6: Final answer
    x = 806.22

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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.