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Finding the Fourth Proportional to 698.34, 1,051.57 and 517.02

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Solution

The fourth proportional to 698.34, 1,051.57 and 517.02 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.34 : 1,051.57 = 517.02 : x
  2. Step 2: Convert to fraction form
    698.34/1,051.57 = 517.02/x
  3. Step 3: Cross multiply
    698.34x = 1,051.57 × 517.02
  4. Step 4: Simplify right side
    698.34x = 543,682.72
  5. Step 5: Solve for x
    x = 543,682.72/698.34
  6. Step 6: Final answer
    x = 778.54

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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.