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Finding the Fourth Proportional to 569.91, 786.51 and 333.99

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Solution

The fourth proportional to 569.91, 786.51 and 333.99 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.91 : 786.51 = 333.99 : x
  2. Step 2: Convert to fraction form
    569.91/786.51 = 333.99/x
  3. Step 3: Cross multiply
    569.91x = 786.51 × 333.99
  4. Step 4: Simplify right side
    569.91x = 262,686.47
  5. Step 5: Solve for x
    x = 262,686.47/569.91
  6. Step 6: Final answer
    x = 460.93

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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.