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Finding the Fourth Proportional to 614.54, 849.14 and 491.22

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Solution

The fourth proportional to 614.54, 849.14 and 491.22 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 849.14 = 491.22 : x
  2. Step 2: Convert to fraction form
    614.54/849.14 = 491.22/x
  3. Step 3: Cross multiply
    614.54x = 849.14 × 491.22
  4. Step 4: Simplify right side
    614.54x = 417,111.53
  5. Step 5: Solve for x
    x = 417,111.53/614.54
  6. Step 6: Final answer
    x = 678.74

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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.