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Finding the Fourth Proportional to 1,021.42, 1,538.71 and 970.48

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Solution

The fourth proportional to 1,021.42, 1,538.71 and 970.48 is: 1,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.42 : 1,538.71 = 970.48 : x
  2. Step 2: Convert to fraction form
    1,021.42/1,538.71 = 970.48/x
  3. Step 3: Cross multiply
    1,021.42x = 1,538.71 × 970.48
  4. Step 4: Simplify right side
    1,021.42x = 1,493,287.28
  5. Step 5: Solve for x
    x = 1,493,287.28/1,021.42
  6. Step 6: Final answer
    x = 1,461.97

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1.5x scale

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.