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Finding the Fourth Proportional to 979.84, 1,349.64 and 930.40

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Solution

The fourth proportional to 979.84, 1,349.64 and 930.40 is: 1,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.84 : 1,349.64 = 930.40 : x
  2. Step 2: Convert to fraction form
    979.84/1,349.64 = 930.40/x
  3. Step 3: Cross multiply
    979.84x = 1,349.64 × 930.40
  4. Step 4: Simplify right side
    979.84x = 1,255,705.06
  5. Step 5: Solve for x
    x = 1,255,705.06/979.84
  6. Step 6: Final answer
    x = 1,281.54

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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.