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Finding the Fourth Proportional to 971.04, 1,331.00 and 957.37

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Solution

The fourth proportional to 971.04, 1,331.00 and 957.37 is: 1,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.04 : 1,331.00 = 957.37 : x
  2. Step 2: Convert to fraction form
    971.04/1,331.00 = 957.37/x
  3. Step 3: Cross multiply
    971.04x = 1,331.00 × 957.37
  4. Step 4: Simplify right side
    971.04x = 1,274,257.08
  5. Step 5: Solve for x
    x = 1,274,257.08/971.04
  6. Step 6: Final answer
    x = 1,312.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.