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Finding the Fourth Proportional to 1,071.63, 1,477.85 and 1,029.51

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Solution

The fourth proportional to 1,071.63, 1,477.85 and 1,029.51 is: 1,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.63 : 1,477.85 = 1,029.51 : x
  2. Step 2: Convert to fraction form
    1,071.63/1,477.85 = 1,029.51/x
  3. Step 3: Cross multiply
    1,071.63x = 1,477.85 × 1,029.51
  4. Step 4: Simplify right side
    1,071.63x = 1,521,456.21
  5. Step 5: Solve for x
    x = 1,521,456.21/1,071.63
  6. Step 6: Final answer
    x = 1,419.76

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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.