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Finding the Fourth Proportional to 975.17, 1,462.53 and 454.85

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Solution

The fourth proportional to 975.17, 1,462.53 and 454.85 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.17 : 1,462.53 = 454.85 : x
  2. Step 2: Convert to fraction form
    975.17/1,462.53 = 454.85/x
  3. Step 3: Cross multiply
    975.17x = 1,462.53 × 454.85
  4. Step 4: Simplify right side
    975.17x = 665,224.46
  5. Step 5: Solve for x
    x = 665,224.46/975.17
  6. Step 6: Final answer
    x = 682.17

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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.