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Finding the Fourth Proportional to 974.19, 1,461.36 and 859.98

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Solution

The fourth proportional to 974.19, 1,461.36 and 859.98 is: 1,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.19 : 1,461.36 = 859.98 : x
  2. Step 2: Convert to fraction form
    974.19/1,461.36 = 859.98/x
  3. Step 3: Cross multiply
    974.19x = 1,461.36 × 859.98
  4. Step 4: Simplify right side
    974.19x = 1,256,740.37
  5. Step 5: Solve for x
    x = 1,256,740.37/974.19
  6. Step 6: Final answer
    x = 1,290.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.