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Finding the Fourth Proportional to 975.84, 1,464.06 and 326.76

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Solution

The fourth proportional to 975.84, 1,464.06 and 326.76 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.84 : 1,464.06 = 326.76 : x
  2. Step 2: Convert to fraction form
    975.84/1,464.06 = 326.76/x
  3. Step 3: Cross multiply
    975.84x = 1,464.06 × 326.76
  4. Step 4: Simplify right side
    975.84x = 478,396.25
  5. Step 5: Solve for x
    x = 478,396.25/975.84
  6. Step 6: Final answer
    x = 490.24

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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.