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Finding the Fourth Proportional to 970.56, 1,335.60 and 838.80

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Solution

The fourth proportional to 970.56, 1,335.60 and 838.80 is: 1,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.56 : 1,335.60 = 838.80 : x
  2. Step 2: Convert to fraction form
    970.56/1,335.60 = 838.80/x
  3. Step 3: Cross multiply
    970.56x = 1,335.60 × 838.80
  4. Step 4: Simplify right side
    970.56x = 1,120,301.28
  5. Step 5: Solve for x
    x = 1,120,301.28/970.56
  6. Step 6: Final answer
    x = 1,154.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.