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Finding the Fourth Proportional to 978.08, 1,448.82 and 967.16

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Solution

The fourth proportional to 978.08, 1,448.82 and 967.16 is: 1,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.08 : 1,448.82 = 967.16 : x
  2. Step 2: Convert to fraction form
    978.08/1,448.82 = 967.16/x
  3. Step 3: Cross multiply
    978.08x = 1,448.82 × 967.16
  4. Step 4: Simplify right side
    978.08x = 1,401,240.75
  5. Step 5: Solve for x
    x = 1,401,240.75/978.08
  6. Step 6: Final answer
    x = 1,432.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.