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Finding the Fourth Proportional to 970.39, 1,338.42 and 616.01

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Solution

The fourth proportional to 970.39, 1,338.42 and 616.01 is: 849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.39 : 1,338.42 = 616.01 : x
  2. Step 2: Convert to fraction form
    970.39/1,338.42 = 616.01/x
  3. Step 3: Cross multiply
    970.39x = 1,338.42 × 616.01
  4. Step 4: Simplify right side
    970.39x = 824,473.41
  5. Step 5: Solve for x
    x = 824,473.41/970.39
  6. Step 6: Final answer
    x = 849.63

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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.