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Finding the Fourth Proportional to 1,705.17, 2,557.92 and 472.59

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Solution

The fourth proportional to 1,705.17, 2,557.92 and 472.59 is: 708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.17 : 2,557.92 = 472.59 : x
  2. Step 2: Convert to fraction form
    1,705.17/2,557.92 = 472.59/x
  3. Step 3: Cross multiply
    1,705.17x = 2,557.92 × 472.59
  4. Step 4: Simplify right side
    1,705.17x = 1,208,847.41
  5. Step 5: Solve for x
    x = 1,208,847.41/1,705.17
  6. Step 6: Final answer
    x = 708.93

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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.