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Finding the Fourth Proportional to 1,001.90, 1,490.62 and 982.46

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Solution

The fourth proportional to 1,001.90, 1,490.62 and 982.46 is: 1,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.90 : 1,490.62 = 982.46 : x
  2. Step 2: Convert to fraction form
    1,001.90/1,490.62 = 982.46/x
  3. Step 3: Cross multiply
    1,001.90x = 1,490.62 × 982.46
  4. Step 4: Simplify right side
    1,001.90x = 1,464,474.53
  5. Step 5: Solve for x
    x = 1,464,474.53/1,001.90
  6. Step 6: Final answer
    x = 1,461.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.