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Finding the Fourth Proportional to 891.94, 1,337.02 and 429.59

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Solution

The fourth proportional to 891.94, 1,337.02 and 429.59 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.94 : 1,337.02 = 429.59 : x
  2. Step 2: Convert to fraction form
    891.94/1,337.02 = 429.59/x
  3. Step 3: Cross multiply
    891.94x = 1,337.02 × 429.59
  4. Step 4: Simplify right side
    891.94x = 574,362.66
  5. Step 5: Solve for x
    x = 574,362.66/891.94
  6. Step 6: Final answer
    x = 643.95

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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.