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Finding the Fourth Proportional to 756.18, 1,126.67 and 706.50

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Solution

The fourth proportional to 756.18, 1,126.67 and 706.50 is: 1,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,126.67 = 706.50 : x
  2. Step 2: Convert to fraction form
    756.18/1,126.67 = 706.50/x
  3. Step 3: Cross multiply
    756.18x = 1,126.67 × 706.50
  4. Step 4: Simplify right side
    756.18x = 795,988.82
  5. Step 5: Solve for x
    x = 795,988.82/756.18
  6. Step 6: Final answer
    x = 1,052.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.