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Finding the Fourth Proportional to 808.17, 1,114.43 and 559.89

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Solution

The fourth proportional to 808.17, 1,114.43 and 559.89 is: 772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.17 : 1,114.43 = 559.89 : x
  2. Step 2: Convert to fraction form
    808.17/1,114.43 = 559.89/x
  3. Step 3: Cross multiply
    808.17x = 1,114.43 × 559.89
  4. Step 4: Simplify right side
    808.17x = 623,955.41
  5. Step 5: Solve for x
    x = 623,955.41/808.17
  6. Step 6: Final answer
    x = 772.06

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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.