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Finding the Fourth Proportional to 1,712.87, 2,569.29 and 414.33

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Solution

The fourth proportional to 1,712.87, 2,569.29 and 414.33 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.87 : 2,569.29 = 414.33 : x
  2. Step 2: Convert to fraction form
    1,712.87/2,569.29 = 414.33/x
  3. Step 3: Cross multiply
    1,712.87x = 2,569.29 × 414.33
  4. Step 4: Simplify right side
    1,712.87x = 1,064,533.93
  5. Step 5: Solve for x
    x = 1,064,533.93/1,712.87
  6. Step 6: Final answer
    x = 621.49

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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.