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Finding the Fourth Proportional to 975.07, 1,462.12 and 455.32

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Solution

The fourth proportional to 975.07, 1,462.12 and 455.32 is: 682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.07 : 1,462.12 = 455.32 : x
  2. Step 2: Convert to fraction form
    975.07/1,462.12 = 455.32/x
  3. Step 3: Cross multiply
    975.07x = 1,462.12 × 455.32
  4. Step 4: Simplify right side
    975.07x = 665,732.48
  5. Step 5: Solve for x
    x = 665,732.48/975.07
  6. Step 6: Final answer
    x = 682.75

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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.