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Finding the Fourth Proportional to 729.70, 1,012.08 and 705

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Solution

The fourth proportional to 729.70, 1,012.08 and 705 is: 977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.70 : 1,012.08 = 705 : x
  2. Step 2: Convert to fraction form
    729.70/1,012.08 = 705/x
  3. Step 3: Cross multiply
    729.70x = 1,012.08 × 705
  4. Step 4: Simplify right side
    729.70x = 713,516.40
  5. Step 5: Solve for x
    x = 713,516.40/729.70
  6. Step 6: Final answer
    x = 977.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.