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Finding the Fourth Proportional to 753.84, 1,045.44 and 706.32

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Solution

The fourth proportional to 753.84, 1,045.44 and 706.32 is: 979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,045.44 = 706.32 : x
  2. Step 2: Convert to fraction form
    753.84/1,045.44 = 706.32/x
  3. Step 3: Cross multiply
    753.84x = 1,045.44 × 706.32
  4. Step 4: Simplify right side
    753.84x = 738,415.18
  5. Step 5: Solve for x
    x = 738,415.18/753.84
  6. Step 6: Final answer
    x = 979.54

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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.