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Finding the Fourth Proportional to 704.52, 1,051.47 and 642.84

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Solution

The fourth proportional to 704.52, 1,051.47 and 642.84 is: 959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 1,051.47 = 642.84 : x
  2. Step 2: Convert to fraction form
    704.52/1,051.47 = 642.84/x
  3. Step 3: Cross multiply
    704.52x = 1,051.47 × 642.84
  4. Step 4: Simplify right side
    704.52x = 675,926.97
  5. Step 5: Solve for x
    x = 675,926.97/704.52
  6. Step 6: Final answer
    x = 959.41

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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.