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Finding the Fourth Proportional to 705.90, 1,056.80 and 485.98

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Solution

The fourth proportional to 705.90, 1,056.80 and 485.98 is: 727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.90 : 1,056.80 = 485.98 : x
  2. Step 2: Convert to fraction form
    705.90/1,056.80 = 485.98/x
  3. Step 3: Cross multiply
    705.90x = 1,056.80 × 485.98
  4. Step 4: Simplify right side
    705.90x = 513,583.66
  5. Step 5: Solve for x
    x = 513,583.66/705.90
  6. Step 6: Final answer
    x = 727.56

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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.