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Finding the Fourth Proportional to 433.98, 646.56 and 415.35

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Solution

The fourth proportional to 433.98, 646.56 and 415.35 is: 618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 646.56 = 415.35 : x
  2. Step 2: Convert to fraction form
    433.98/646.56 = 415.35/x
  3. Step 3: Cross multiply
    433.98x = 646.56 × 415.35
  4. Step 4: Simplify right side
    433.98x = 268,548.70
  5. Step 5: Solve for x
    x = 268,548.70/433.98
  6. Step 6: Final answer
    x = 618.80

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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.