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Finding the Fourth Proportional to 643.95, 888.10 and 433.96

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Solution

The fourth proportional to 643.95, 888.10 and 433.96 is: 598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.95 : 888.10 = 433.96 : x
  2. Step 2: Convert to fraction form
    643.95/888.10 = 433.96/x
  3. Step 3: Cross multiply
    643.95x = 888.10 × 433.96
  4. Step 4: Simplify right side
    643.95x = 385,396.57
  5. Step 5: Solve for x
    x = 385,396.57/643.95
  6. Step 6: Final answer
    x = 598.49

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