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Finding the Fourth Proportional to 491.84, 677.55 and 468.39

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Solution

The fourth proportional to 491.84, 677.55 and 468.39 is: 645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 677.55 = 468.39 : x
  2. Step 2: Convert to fraction form
    491.84/677.55 = 468.39/x
  3. Step 3: Cross multiply
    491.84x = 677.55 × 468.39
  4. Step 4: Simplify right side
    491.84x = 317,357.64
  5. Step 5: Solve for x
    x = 317,357.64/491.84
  6. Step 6: Final answer
    x = 645.25

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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.