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Finding the Fourth Proportional to 808.70, 1,116.26 and 510.44

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Solution

The fourth proportional to 808.70, 1,116.26 and 510.44 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.70 : 1,116.26 = 510.44 : x
  2. Step 2: Convert to fraction form
    808.70/1,116.26 = 510.44/x
  3. Step 3: Cross multiply
    808.70x = 1,116.26 × 510.44
  4. Step 4: Simplify right side
    808.70x = 569,779.45
  5. Step 5: Solve for x
    x = 569,779.45/808.70
  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.