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Finding the Fourth Proportional to 651.94, 899.96 and 416.20

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Solution

The fourth proportional to 651.94, 899.96 and 416.20 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.94 : 899.96 = 416.20 : x
  2. Step 2: Convert to fraction form
    651.94/899.96 = 416.20/x
  3. Step 3: Cross multiply
    651.94x = 899.96 × 416.20
  4. Step 4: Simplify right side
    651.94x = 374,559.89
  5. Step 5: Solve for x
    x = 374,559.89/651.94
  6. Step 6: Final answer
    x = 574.53

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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.