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Finding the Fourth Proportional to 970.21, 1,331.78 and 882.73

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Solution

The fourth proportional to 970.21, 1,331.78 and 882.73 is: 1,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.21 : 1,331.78 = 882.73 : x
  2. Step 2: Convert to fraction form
    970.21/1,331.78 = 882.73/x
  3. Step 3: Cross multiply
    970.21x = 1,331.78 × 882.73
  4. Step 4: Simplify right side
    970.21x = 1,175,602.16
  5. Step 5: Solve for x
    x = 1,175,602.16/970.21
  6. Step 6: Final answer
    x = 1,211.70

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Double scale
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1.5x scale

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.