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Finding the Fourth Proportional to 891.13, 1,336.13 and 429.02

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Solution

The fourth proportional to 891.13, 1,336.13 and 429.02 is: 643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.13 : 1,336.13 = 429.02 : x
  2. Step 2: Convert to fraction form
    891.13/1,336.13 = 429.02/x
  3. Step 3: Cross multiply
    891.13x = 1,336.13 × 429.02
  4. Step 4: Simplify right side
    891.13x = 573,224.35
  5. Step 5: Solve for x
    x = 573,224.35/891.13
  6. Step 6: Final answer
    x = 643.26

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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.