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Finding the Fourth Proportional to 883.05, 1,218.33 and 509.98

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Solution

The fourth proportional to 883.05, 1,218.33 and 509.98 is: 703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.05 : 1,218.33 = 509.98 : x
  2. Step 2: Convert to fraction form
    883.05/1,218.33 = 509.98/x
  3. Step 3: Cross multiply
    883.05x = 1,218.33 × 509.98
  4. Step 4: Simplify right side
    883.05x = 621,323.93
  5. Step 5: Solve for x
    x = 621,323.93/883.05
  6. Step 6: Final answer
    x = 703.61

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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.