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Finding the Fourth Proportional to 551.70, 758.94 and 463.14

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Solution

The fourth proportional to 551.70, 758.94 and 463.14 is: 637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 758.94 = 463.14 : x
  2. Step 2: Convert to fraction form
    551.70/758.94 = 463.14/x
  3. Step 3: Cross multiply
    551.70x = 758.94 × 463.14
  4. Step 4: Simplify right side
    551.70x = 351,495.47
  5. Step 5: Solve for x
    x = 351,495.47/551.70
  6. Step 6: Final answer
    x = 637.11

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Why These Related Problems?

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