Home / 1,056.17-1,457.42-614.09

Finding the Fourth Proportional to 1,056.17, 1,457.42 and 614.09

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Solution

The fourth proportional to 1,056.17, 1,457.42 and 614.09 is: 847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.17 : 1,457.42 = 614.09 : x
  2. Step 2: Convert to fraction form
    1,056.17/1,457.42 = 614.09/x
  3. Step 3: Cross multiply
    1,056.17x = 1,457.42 × 614.09
  4. Step 4: Simplify right side
    1,056.17x = 894,987.62
  5. Step 5: Solve for x
    x = 894,987.62/1,056.17
  6. Step 6: Final answer
    x = 847.39

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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.