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Finding the Fourth Proportional to 651.97, 899.46 and 419.23

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Solution

The fourth proportional to 651.97, 899.46 and 419.23 is: 578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.97 : 899.46 = 419.23 : x
  2. Step 2: Convert to fraction form
    651.97/899.46 = 419.23/x
  3. Step 3: Cross multiply
    651.97x = 899.46 × 419.23
  4. Step 4: Simplify right side
    651.97x = 377,080.62
  5. Step 5: Solve for x
    x = 377,080.62/651.97
  6. Step 6: Final answer
    x = 578.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.