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Finding the Fourth Proportional to 522.62, 785.03 and 317.28

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Solution

The fourth proportional to 522.62, 785.03 and 317.28 is: 476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 785.03 = 317.28 : x
  2. Step 2: Convert to fraction form
    522.62/785.03 = 317.28/x
  3. Step 3: Cross multiply
    522.62x = 785.03 × 317.28
  4. Step 4: Simplify right side
    522.62x = 249,072.73
  5. Step 5: Solve for x
    x = 249,072.73/522.62
  6. Step 6: Final answer
    x = 476.59

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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.