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Finding the Fourth Proportional to 670.14, 923.94 and 551.70

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Solution

The fourth proportional to 670.14, 923.94 and 551.70 is: 760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.14 : 923.94 = 551.70 : x
  2. Step 2: Convert to fraction form
    670.14/923.94 = 551.70/x
  3. Step 3: Cross multiply
    670.14x = 923.94 × 551.70
  4. Step 4: Simplify right side
    670.14x = 509,737.70
  5. Step 5: Solve for x
    x = 509,737.70/670.14
  6. Step 6: Final answer
    x = 760.64

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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.