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Finding the Fourth Proportional to 970.08, 1,338.83 and 616.11

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Solution

The fourth proportional to 970.08, 1,338.83 and 616.11 is: 850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.08 : 1,338.83 = 616.11 : x
  2. Step 2: Convert to fraction form
    970.08/1,338.83 = 616.11/x
  3. Step 3: Cross multiply
    970.08x = 1,338.83 × 616.11
  4. Step 4: Simplify right side
    970.08x = 824,866.55
  5. Step 5: Solve for x
    x = 824,866.55/970.08
  6. Step 6: Final answer
    x = 850.31

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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.