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Finding the Fourth Proportional to 471.42, 703.28 and 458.66

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Solution

The fourth proportional to 471.42, 703.28 and 458.66 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 703.28 = 458.66 : x
  2. Step 2: Convert to fraction form
    471.42/703.28 = 458.66/x
  3. Step 3: Cross multiply
    471.42x = 703.28 × 458.66
  4. Step 4: Simplify right side
    471.42x = 322,569.31
  5. Step 5: Solve for x
    x = 322,569.31/471.42
  6. Step 6: Final answer
    x = 684.25

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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.