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Finding the Fourth Proportional to 815.63, 1,125.83 and 505.13

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Solution

The fourth proportional to 815.63, 1,125.83 and 505.13 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.63 : 1,125.83 = 505.13 : x
  2. Step 2: Convert to fraction form
    815.63/1,125.83 = 505.13/x
  3. Step 3: Cross multiply
    815.63x = 1,125.83 × 505.13
  4. Step 4: Simplify right side
    815.63x = 568,686.14
  5. Step 5: Solve for x
    x = 568,686.14/815.63
  6. Step 6: Final answer
    x = 697.24

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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.