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Finding the Fourth Proportional to 967.10, 1,448.66 and 653.78

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Solution

The fourth proportional to 967.10, 1,448.66 and 653.78 is: 979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.10 : 1,448.66 = 653.78 : x
  2. Step 2: Convert to fraction form
    967.10/1,448.66 = 653.78/x
  3. Step 3: Cross multiply
    967.10x = 1,448.66 × 653.78
  4. Step 4: Simplify right side
    967.10x = 947,094.42
  5. Step 5: Solve for x
    x = 947,094.42/967.10
  6. Step 6: Final answer
    x = 979.32

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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.