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Finding the Fourth Proportional to 1,347.83, 1,859.18 and 822.95

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Solution

The fourth proportional to 1,347.83, 1,859.18 and 822.95 is: 1,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.83 : 1,859.18 = 822.95 : x
  2. Step 2: Convert to fraction form
    1,347.83/1,859.18 = 822.95/x
  3. Step 3: Cross multiply
    1,347.83x = 1,859.18 × 822.95
  4. Step 4: Simplify right side
    1,347.83x = 1,529,998.77
  5. Step 5: Solve for x
    x = 1,529,998.77/1,347.83
  6. Step 6: Final answer
    x = 1,135.16

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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.