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Finding the Fourth Proportional to 1,430.40, 1,974.39 and 833.07

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Solution

The fourth proportional to 1,430.40, 1,974.39 and 833.07 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.40 : 1,974.39 = 833.07 : x
  2. Step 2: Convert to fraction form
    1,430.40/1,974.39 = 833.07/x
  3. Step 3: Cross multiply
    1,430.40x = 1,974.39 × 833.07
  4. Step 4: Simplify right side
    1,430.40x = 1,644,805.08
  5. Step 5: Solve for x
    x = 1,644,805.08/1,430.40
  6. Step 6: Final answer
    x = 1,149.89

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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.