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Finding the Fourth Proportional to 857.84, 1,283.68 and 742.68

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Solution

The fourth proportional to 857.84, 1,283.68 and 742.68 is: 1,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,283.68 = 742.68 : x
  2. Step 2: Convert to fraction form
    857.84/1,283.68 = 742.68/x
  3. Step 3: Cross multiply
    857.84x = 1,283.68 × 742.68
  4. Step 4: Simplify right side
    857.84x = 953,362.59
  5. Step 5: Solve for x
    x = 953,362.59/857.84
  6. Step 6: Final answer
    x = 1,111.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.