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Finding the Fourth Proportional to 491.66, 678.44 and 375.02

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Solution

The fourth proportional to 491.66, 678.44 and 375.02 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.66 : 678.44 = 375.02 : x
  2. Step 2: Convert to fraction form
    491.66/678.44 = 375.02/x
  3. Step 3: Cross multiply
    491.66x = 678.44 × 375.02
  4. Step 4: Simplify right side
    491.66x = 254,428.57
  5. Step 5: Solve for x
    x = 254,428.57/491.66
  6. Step 6: Final answer
    x = 517.49

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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.