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Finding the Fourth Proportional to 569.40, 785.74 and 333.35

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Solution

The fourth proportional to 569.40, 785.74 and 333.35 is: 460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.40 : 785.74 = 333.35 : x
  2. Step 2: Convert to fraction form
    569.40/785.74 = 333.35/x
  3. Step 3: Cross multiply
    569.40x = 785.74 × 333.35
  4. Step 4: Simplify right side
    569.40x = 261,926.43
  5. Step 5: Solve for x
    x = 261,926.43/569.40
  6. Step 6: Final answer
    x = 460.00

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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.