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Finding the Fourth Proportional to 975.56, 1,462.52 and 455.29

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Solution

The fourth proportional to 975.56, 1,462.52 and 455.29 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.56 : 1,462.52 = 455.29 : x
  2. Step 2: Convert to fraction form
    975.56/1,462.52 = 455.29/x
  3. Step 3: Cross multiply
    975.56x = 1,462.52 × 455.29
  4. Step 4: Simplify right side
    975.56x = 665,868.21
  5. Step 5: Solve for x
    x = 665,868.21/975.56
  6. Step 6: Final answer
    x = 682.55

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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.