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Finding the Fourth Proportional to 704.93, 1,052.59 and 621.97

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Solution

The fourth proportional to 704.93, 1,052.59 and 621.97 is: 928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.93 : 1,052.59 = 621.97 : x
  2. Step 2: Convert to fraction form
    704.93/1,052.59 = 621.97/x
  3. Step 3: Cross multiply
    704.93x = 1,052.59 × 621.97
  4. Step 4: Simplify right side
    704.93x = 654,676.77
  5. Step 5: Solve for x
    x = 654,676.77/704.93
  6. Step 6: Final answer
    x = 928.72

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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.