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Finding the Fourth Proportional to 458.53, 690.69 and 417.66

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Solution

The fourth proportional to 458.53, 690.69 and 417.66 is: 629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 690.69 = 417.66 : x
  2. Step 2: Convert to fraction form
    458.53/690.69 = 417.66/x
  3. Step 3: Cross multiply
    458.53x = 690.69 × 417.66
  4. Step 4: Simplify right side
    458.53x = 288,473.59
  5. Step 5: Solve for x
    x = 288,473.59/458.53
  6. Step 6: Final answer
    x = 629.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.