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Finding the Fourth Proportional to 842.09, 1,162.14 and 510.53

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Solution

The fourth proportional to 842.09, 1,162.14 and 510.53 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.09 : 1,162.14 = 510.53 : x
  2. Step 2: Convert to fraction form
    842.09/1,162.14 = 510.53/x
  3. Step 3: Cross multiply
    842.09x = 1,162.14 × 510.53
  4. Step 4: Simplify right side
    842.09x = 593,307.33
  5. Step 5: Solve for x
    x = 593,307.33/842.09
  6. Step 6: Final answer
    x = 704.57

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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.