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Finding the Fourth Proportional to 1,471.68, 2,030.85 and 842.31

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Solution

The fourth proportional to 1,471.68, 2,030.85 and 842.31 is: 1,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.68 : 2,030.85 = 842.31 : x
  2. Step 2: Convert to fraction form
    1,471.68/2,030.85 = 842.31/x
  3. Step 3: Cross multiply
    1,471.68x = 2,030.85 × 842.31
  4. Step 4: Simplify right side
    1,471.68x = 1,710,605.26
  5. Step 5: Solve for x
    x = 1,710,605.26/1,471.68
  6. Step 6: Final answer
    x = 1,162.35

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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.