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Finding the Fourth Proportional to 975.68, 1,464.34 and 391.09

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Solution

The fourth proportional to 975.68, 1,464.34 and 391.09 is: 586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.68 : 1,464.34 = 391.09 : x
  2. Step 2: Convert to fraction form
    975.68/1,464.34 = 391.09/x
  3. Step 3: Cross multiply
    975.68x = 1,464.34 × 391.09
  4. Step 4: Simplify right side
    975.68x = 572,687.75
  5. Step 5: Solve for x
    x = 572,687.75/975.68
  6. Step 6: Final answer
    x = 586.96

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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.