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Finding the Fourth Proportional to 491.48, 678.68 and 468.14

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Solution

The fourth proportional to 491.48, 678.68 and 468.14 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.48 : 678.68 = 468.14 : x
  2. Step 2: Convert to fraction form
    491.48/678.68 = 468.14/x
  3. Step 3: Cross multiply
    491.48x = 678.68 × 468.14
  4. Step 4: Simplify right side
    491.48x = 317,711.52
  5. Step 5: Solve for x
    x = 317,711.52/491.48
  6. Step 6: Final answer
    x = 646.44

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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.