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Finding the Fourth Proportional to 1,005.68, 1,506.87 and 967.24

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Solution

The fourth proportional to 1,005.68, 1,506.87 and 967.24 is: 1,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.68 : 1,506.87 = 967.24 : x
  2. Step 2: Convert to fraction form
    1,005.68/1,506.87 = 967.24/x
  3. Step 3: Cross multiply
    1,005.68x = 1,506.87 × 967.24
  4. Step 4: Simplify right side
    1,005.68x = 1,457,501.07
  5. Step 5: Solve for x
    x = 1,457,501.07/1,005.68
  6. Step 6: Final answer
    x = 1,449.27

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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.