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Finding the Fourth Proportional to 842.63, 1,161.95 and 510.93

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Solution

The fourth proportional to 842.63, 1,161.95 and 510.93 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.63 : 1,161.95 = 510.93 : x
  2. Step 2: Convert to fraction form
    842.63/1,161.95 = 510.93/x
  3. Step 3: Cross multiply
    842.63x = 1,161.95 × 510.93
  4. Step 4: Simplify right side
    842.63x = 593,672.56
  5. Step 5: Solve for x
    x = 593,672.56/842.63
  6. Step 6: Final answer
    x = 704.55

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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.