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Finding the Fourth Proportional to 574.18, 788.94 and 469.02

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Solution

The fourth proportional to 574.18, 788.94 and 469.02 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.18 : 788.94 = 469.02 : x
  2. Step 2: Convert to fraction form
    574.18/788.94 = 469.02/x
  3. Step 3: Cross multiply
    574.18x = 788.94 × 469.02
  4. Step 4: Simplify right side
    574.18x = 370,028.64
  5. Step 5: Solve for x
    x = 370,028.64/574.18
  6. Step 6: Final answer
    x = 644.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.