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Finding the Fourth Proportional to 808.14, 1,114.47 and 543.18

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Solution

The fourth proportional to 808.14, 1,114.47 and 543.18 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,114.47 = 543.18 : x
  2. Step 2: Convert to fraction form
    808.14/1,114.47 = 543.18/x
  3. Step 3: Cross multiply
    808.14x = 1,114.47 × 543.18
  4. Step 4: Simplify right side
    808.14x = 605,357.81
  5. Step 5: Solve for x
    x = 605,357.81/808.14
  6. Step 6: Final answer
    x = 749.08

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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.