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Finding the Fourth Proportional to 471.77, 702.95 and 450.82

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Solution

The fourth proportional to 471.77, 702.95 and 450.82 is: 671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.77 : 702.95 = 450.82 : x
  2. Step 2: Convert to fraction form
    471.77/702.95 = 450.82/x
  3. Step 3: Cross multiply
    471.77x = 702.95 × 450.82
  4. Step 4: Simplify right side
    471.77x = 316,903.92
  5. Step 5: Solve for x
    x = 316,903.92/471.77
  6. Step 6: Final answer
    x = 671.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.