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Finding the Fourth Proportional to 970.36, 1,461.31 and 874

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Solution

The fourth proportional to 970.36, 1,461.31 and 874 is: 1,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.36 : 1,461.31 = 874 : x
  2. Step 2: Convert to fraction form
    970.36/1,461.31 = 874/x
  3. Step 3: Cross multiply
    970.36x = 1,461.31 × 874
  4. Step 4: Simplify right side
    970.36x = 1,277,184.94
  5. Step 5: Solve for x
    x = 1,277,184.94/970.36
  6. Step 6: Final answer
    x = 1,316.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.