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Finding the Fourth Proportional to 971.97, 1,457.22 and 355.56

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Solution

The fourth proportional to 971.97, 1,457.22 and 355.56 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.97 : 1,457.22 = 355.56 : x
  2. Step 2: Convert to fraction form
    971.97/1,457.22 = 355.56/x
  3. Step 3: Cross multiply
    971.97x = 1,457.22 × 355.56
  4. Step 4: Simplify right side
    971.97x = 518,129.14
  5. Step 5: Solve for x
    x = 518,129.14/971.97
  6. Step 6: Final answer
    x = 533.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.