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Finding the Fourth Proportional to 805.65, 1,111.59 and 510.81

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Solution

The fourth proportional to 805.65, 1,111.59 and 510.81 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.65 : 1,111.59 = 510.81 : x
  2. Step 2: Convert to fraction form
    805.65/1,111.59 = 510.81/x
  3. Step 3: Cross multiply
    805.65x = 1,111.59 × 510.81
  4. Step 4: Simplify right side
    805.65x = 567,805.73
  5. Step 5: Solve for x
    x = 567,805.73/805.65
  6. Step 6: Final answer
    x = 704.78

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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.