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Finding the Fourth Proportional to 1,427.98, 1,970.75 and 830.66

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Solution

The fourth proportional to 1,427.98, 1,970.75 and 830.66 is: 1,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.98 : 1,970.75 = 830.66 : x
  2. Step 2: Convert to fraction form
    1,427.98/1,970.75 = 830.66/x
  3. Step 3: Cross multiply
    1,427.98x = 1,970.75 × 830.66
  4. Step 4: Simplify right side
    1,427.98x = 1,637,015.42
  5. Step 5: Solve for x
    x = 1,637,015.42/1,427.98
  6. Step 6: Final answer
    x = 1,146.39

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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.