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Finding the Fourth Proportional to 1,705.06, 2,557.65 and 472.49

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Solution

The fourth proportional to 1,705.06, 2,557.65 and 472.49 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.06 : 2,557.65 = 472.49 : x
  2. Step 2: Convert to fraction form
    1,705.06/2,557.65 = 472.49/x
  3. Step 3: Cross multiply
    1,705.06x = 2,557.65 × 472.49
  4. Step 4: Simplify right side
    1,705.06x = 1,208,448.90
  5. Step 5: Solve for x
    x = 1,208,448.90/1,705.06
  6. Step 6: Final answer
    x = 708.74

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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.