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Finding the Fourth Proportional to 830.41, 1,242.98 and 464.09

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Solution

The fourth proportional to 830.41, 1,242.98 and 464.09 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.41 : 1,242.98 = 464.09 : x
  2. Step 2: Convert to fraction form
    830.41/1,242.98 = 464.09/x
  3. Step 3: Cross multiply
    830.41x = 1,242.98 × 464.09
  4. Step 4: Simplify right side
    830.41x = 576,854.59
  5. Step 5: Solve for x
    x = 576,854.59/830.41
  6. Step 6: Final answer
    x = 694.66

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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.