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Finding the Fourth Proportional to 473.84, 711.45 and 290.69

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Solution

The fourth proportional to 473.84, 711.45 and 290.69 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 711.45 = 290.69 : x
  2. Step 2: Convert to fraction form
    473.84/711.45 = 290.69/x
  3. Step 3: Cross multiply
    473.84x = 711.45 × 290.69
  4. Step 4: Simplify right side
    473.84x = 206,811.40
  5. Step 5: Solve for x
    x = 206,811.40/473.84
  6. Step 6: Final answer
    x = 436.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.