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Finding the Fourth Proportional to 982.79, 1,356.27 and 609.95

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Solution

The fourth proportional to 982.79, 1,356.27 and 609.95 is: 841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.79 : 1,356.27 = 609.95 : x
  2. Step 2: Convert to fraction form
    982.79/1,356.27 = 609.95/x
  3. Step 3: Cross multiply
    982.79x = 1,356.27 × 609.95
  4. Step 4: Simplify right side
    982.79x = 827,256.89
  5. Step 5: Solve for x
    x = 827,256.89/982.79
  6. Step 6: Final answer
    x = 841.74

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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.