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Finding the Fourth Proportional to 977.89, 1,473.44 and 808.36

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Solution

The fourth proportional to 977.89, 1,473.44 and 808.36 is: 1,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.89 : 1,473.44 = 808.36 : x
  2. Step 2: Convert to fraction form
    977.89/1,473.44 = 808.36/x
  3. Step 3: Cross multiply
    977.89x = 1,473.44 × 808.36
  4. Step 4: Simplify right side
    977.89x = 1,191,069.96
  5. Step 5: Solve for x
    x = 1,191,069.96/977.89
  6. Step 6: Final answer
    x = 1,218.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.