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Finding the Fourth Proportional to 1,420.07, 1,959.39 and 830.48

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Solution

The fourth proportional to 1,420.07, 1,959.39 and 830.48 is: 1,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.07 : 1,959.39 = 830.48 : x
  2. Step 2: Convert to fraction form
    1,420.07/1,959.39 = 830.48/x
  3. Step 3: Cross multiply
    1,420.07x = 1,959.39 × 830.48
  4. Step 4: Simplify right side
    1,420.07x = 1,627,239.11
  5. Step 5: Solve for x
    x = 1,627,239.11/1,420.07
  6. Step 6: Final answer
    x = 1,145.89

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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.