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Finding the Fourth Proportional to 471.16, 703.25 and 450.08

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Solution

The fourth proportional to 471.16, 703.25 and 450.08 is: 671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 703.25 = 450.08 : x
  2. Step 2: Convert to fraction form
    471.16/703.25 = 450.08/x
  3. Step 3: Cross multiply
    471.16x = 703.25 × 450.08
  4. Step 4: Simplify right side
    471.16x = 316,518.76
  5. Step 5: Solve for x
    x = 316,518.76/471.16
  6. Step 6: Final answer
    x = 671.79

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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.