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Finding the Fourth Proportional to 569.95, 786.71 and 513.59

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Solution

The fourth proportional to 569.95, 786.71 and 513.59 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 786.71 = 513.59 : x
  2. Step 2: Convert to fraction form
    569.95/786.71 = 513.59/x
  3. Step 3: Cross multiply
    569.95x = 786.71 × 513.59
  4. Step 4: Simplify right side
    569.95x = 404,043.74
  5. Step 5: Solve for x
    x = 404,043.74/569.95
  6. Step 6: Final answer
    x = 708.91

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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.