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Finding the Fourth Proportional to 971.14, 1,457.27 and 674.87

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Solution

The fourth proportional to 971.14, 1,457.27 and 674.87 is: 1,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.14 : 1,457.27 = 674.87 : x
  2. Step 2: Convert to fraction form
    971.14/1,457.27 = 674.87/x
  3. Step 3: Cross multiply
    971.14x = 1,457.27 × 674.87
  4. Step 4: Simplify right side
    971.14x = 983,467.80
  5. Step 5: Solve for x
    x = 983,467.80/971.14
  6. Step 6: Final answer
    x = 1,012.69

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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.