Home / 1,056.21-1,457.66-584.15

Finding the Fourth Proportional to 1,056.21, 1,457.66 and 584.15

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Solution

The fourth proportional to 1,056.21, 1,457.66 and 584.15 is: 806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.21 : 1,457.66 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,056.21/1,457.66 = 584.15/x
  3. Step 3: Cross multiply
    1,056.21x = 1,457.66 × 584.15
  4. Step 4: Simplify right side
    1,056.21x = 851,492.09
  5. Step 5: Solve for x
    x = 851,492.09/1,056.21
  6. Step 6: Final answer
    x = 806.18

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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.