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Finding the Fourth Proportional to 975.34, 1,462.47 and 325.72

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Solution

The fourth proportional to 975.34, 1,462.47 and 325.72 is: 488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.34 : 1,462.47 = 325.72 : x
  2. Step 2: Convert to fraction form
    975.34/1,462.47 = 325.72/x
  3. Step 3: Cross multiply
    975.34x = 1,462.47 × 325.72
  4. Step 4: Simplify right side
    975.34x = 476,355.73
  5. Step 5: Solve for x
    x = 476,355.73/975.34
  6. Step 6: Final answer
    x = 488.40

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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.