Home / 1,056.31-1,457.63-614.12

Finding the Fourth Proportional to 1,056.31, 1,457.63 and 614.12

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Solution

The fourth proportional to 1,056.31, 1,457.63 and 614.12 is: 847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.31 : 1,457.63 = 614.12 : x
  2. Step 2: Convert to fraction form
    1,056.31/1,457.63 = 614.12/x
  3. Step 3: Cross multiply
    1,056.31x = 1,457.63 × 614.12
  4. Step 4: Simplify right side
    1,056.31x = 895,151.68
  5. Step 5: Solve for x
    x = 895,151.68/1,056.31
  6. Step 6: Final answer
    x = 847.43

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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.