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Finding the Fourth Proportional to 1,302.20, 1,953.62 and 978.36

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Solution

The fourth proportional to 1,302.20, 1,953.62 and 978.36 is: 1,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.20 : 1,953.62 = 978.36 : x
  2. Step 2: Convert to fraction form
    1,302.20/1,953.62 = 978.36/x
  3. Step 3: Cross multiply
    1,302.20x = 1,953.62 × 978.36
  4. Step 4: Simplify right side
    1,302.20x = 1,911,343.66
  5. Step 5: Solve for x
    x = 1,911,343.66/1,302.20
  6. Step 6: Final answer
    x = 1,467.78

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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.