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Finding the Fourth Proportional to 815.89, 1,126.44 and 505.93

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Solution

The fourth proportional to 815.89, 1,126.44 and 505.93 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.89 : 1,126.44 = 505.93 : x
  2. Step 2: Convert to fraction form
    815.89/1,126.44 = 505.93/x
  3. Step 3: Cross multiply
    815.89x = 1,126.44 × 505.93
  4. Step 4: Simplify right side
    815.89x = 569,899.79
  5. Step 5: Solve for x
    x = 569,899.79/815.89
  6. Step 6: Final answer
    x = 698.50

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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.