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Finding the Fourth Proportional to 522.17, 786.33 and 454.50

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Solution

The fourth proportional to 522.17, 786.33 and 454.50 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 786.33 = 454.50 : x
  2. Step 2: Convert to fraction form
    522.17/786.33 = 454.50/x
  3. Step 3: Cross multiply
    522.17x = 786.33 × 454.50
  4. Step 4: Simplify right side
    522.17x = 357,386.99
  5. Step 5: Solve for x
    x = 357,386.99/522.17
  6. Step 6: Final answer
    x = 684.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.