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Finding the Fourth Proportional to 805.06, 1,111.35 and 510.58

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Solution

The fourth proportional to 805.06, 1,111.35 and 510.58 is: 704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,111.35 = 510.58 : x
  2. Step 2: Convert to fraction form
    805.06/1,111.35 = 510.58/x
  3. Step 3: Cross multiply
    805.06x = 1,111.35 × 510.58
  4. Step 4: Simplify right side
    805.06x = 567,433.08
  5. Step 5: Solve for x
    x = 567,433.08/805.06
  6. Step 6: Final answer
    x = 704.83

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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.