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Finding the Fourth Proportional to 860.58, 1,282.40 and 808.63

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Solution

The fourth proportional to 860.58, 1,282.40 and 808.63 is: 1,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.58 : 1,282.40 = 808.63 : x
  2. Step 2: Convert to fraction form
    860.58/1,282.40 = 808.63/x
  3. Step 3: Cross multiply
    860.58x = 1,282.40 × 808.63
  4. Step 4: Simplify right side
    860.58x = 1,036,983.07
  5. Step 5: Solve for x
    x = 1,036,983.07/860.58
  6. Step 6: Final answer
    x = 1,204.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.