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Finding the Fourth Proportional to 830.21, 1,142.51 and 642.96

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Solution

The fourth proportional to 830.21, 1,142.51 and 642.96 is: 884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.21 : 1,142.51 = 642.96 : x
  2. Step 2: Convert to fraction form
    830.21/1,142.51 = 642.96/x
  3. Step 3: Cross multiply
    830.21x = 1,142.51 × 642.96
  4. Step 4: Simplify right side
    830.21x = 734,585.01
  5. Step 5: Solve for x
    x = 734,585.01/830.21
  6. Step 6: Final answer
    x = 884.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.