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Finding the Fourth Proportional to 978.05, 1,467.75 and 515.81

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Solution

The fourth proportional to 978.05, 1,467.75 and 515.81 is: 774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.05 : 1,467.75 = 515.81 : x
  2. Step 2: Convert to fraction form
    978.05/1,467.75 = 515.81/x
  3. Step 3: Cross multiply
    978.05x = 1,467.75 × 515.81
  4. Step 4: Simplify right side
    978.05x = 757,080.13
  5. Step 5: Solve for x
    x = 757,080.13/978.05
  6. Step 6: Final answer
    x = 774.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.