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Finding the Fourth Proportional to 978.40, 1,466.28 and 490.38

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Solution

The fourth proportional to 978.40, 1,466.28 and 490.38 is: 734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.40 : 1,466.28 = 490.38 : x
  2. Step 2: Convert to fraction form
    978.40/1,466.28 = 490.38/x
  3. Step 3: Cross multiply
    978.40x = 1,466.28 × 490.38
  4. Step 4: Simplify right side
    978.40x = 719,034.39
  5. Step 5: Solve for x
    x = 719,034.39/978.40
  6. Step 6: Final answer
    x = 734.91

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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.