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Finding the Fourth Proportional to 978.84, 1,351.62 and 699.93

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Solution

The fourth proportional to 978.84, 1,351.62 and 699.93 is: 966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.84 : 1,351.62 = 699.93 : x
  2. Step 2: Convert to fraction form
    978.84/1,351.62 = 699.93/x
  3. Step 3: Cross multiply
    978.84x = 1,351.62 × 699.93
  4. Step 4: Simplify right side
    978.84x = 946,039.39
  5. Step 5: Solve for x
    x = 946,039.39/978.84
  6. Step 6: Final answer
    x = 966.49

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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.