Home / 1,712.93-2,569.39-414.39

Finding the Fourth Proportional to 1,712.93, 2,569.39 and 414.39

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Solution

The fourth proportional to 1,712.93, 2,569.39 and 414.39 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.93 : 2,569.39 = 414.39 : x
  2. Step 2: Convert to fraction form
    1,712.93/2,569.39 = 414.39/x
  3. Step 3: Cross multiply
    1,712.93x = 2,569.39 × 414.39
  4. Step 4: Simplify right side
    1,712.93x = 1,064,728.49
  5. Step 5: Solve for x
    x = 1,064,728.49/1,712.93
  6. Step 6: Final answer
    x = 621.59

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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.