Home / 1,734.71-2,602.06-436.19

Finding the Fourth Proportional to 1,734.71, 2,602.06 and 436.19

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Solution

The fourth proportional to 1,734.71, 2,602.06 and 436.19 is: 654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.71 : 2,602.06 = 436.19 : x
  2. Step 2: Convert to fraction form
    1,734.71/2,602.06 = 436.19/x
  3. Step 3: Cross multiply
    1,734.71x = 2,602.06 × 436.19
  4. Step 4: Simplify right side
    1,734.71x = 1,134,978.45
  5. Step 5: Solve for x
    x = 1,134,978.45/1,734.71
  6. Step 6: Final answer
    x = 654.28

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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.