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Finding the Fourth Proportional to 974.63, 1,345.02 and 601.60

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Solution

The fourth proportional to 974.63, 1,345.02 and 601.60 is: 830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.63 : 1,345.02 = 601.60 : x
  2. Step 2: Convert to fraction form
    974.63/1,345.02 = 601.60/x
  3. Step 3: Cross multiply
    974.63x = 1,345.02 × 601.60
  4. Step 4: Simplify right side
    974.63x = 809,164.03
  5. Step 5: Solve for x
    x = 809,164.03/974.63
  6. Step 6: Final answer
    x = 830.23

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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.