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Finding the Fourth Proportional to 982.95, 1,356.48 and 609.74

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Solution

The fourth proportional to 982.95, 1,356.48 and 609.74 is: 841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.95 : 1,356.48 = 609.74 : x
  2. Step 2: Convert to fraction form
    982.95/1,356.48 = 609.74/x
  3. Step 3: Cross multiply
    982.95x = 1,356.48 × 609.74
  4. Step 4: Simplify right side
    982.95x = 827,098.42
  5. Step 5: Solve for x
    x = 827,098.42/982.95
  6. Step 6: Final answer
    x = 841.45

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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.