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Finding the Fourth Proportional to 970.56, 1,331.84 and 882.56

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Solution

The fourth proportional to 970.56, 1,331.84 and 882.56 is: 1,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.56 : 1,331.84 = 882.56 : x
  2. Step 2: Convert to fraction form
    970.56/1,331.84 = 882.56/x
  3. Step 3: Cross multiply
    970.56x = 1,331.84 × 882.56
  4. Step 4: Simplify right side
    970.56x = 1,175,428.71
  5. Step 5: Solve for x
    x = 1,175,428.71/970.56
  6. Step 6: Final answer
    x = 1,211.08

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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.