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Finding the Fourth Proportional to 1,051.82, 1,577.51 and 999.78

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Solution

The fourth proportional to 1,051.82, 1,577.51 and 999.78 is: 1,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.82 : 1,577.51 = 999.78 : x
  2. Step 2: Convert to fraction form
    1,051.82/1,577.51 = 999.78/x
  3. Step 3: Cross multiply
    1,051.82x = 1,577.51 × 999.78
  4. Step 4: Simplify right side
    1,051.82x = 1,577,162.95
  5. Step 5: Solve for x
    x = 1,577,162.95/1,051.82
  6. Step 6: Final answer
    x = 1,499.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.