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Finding the Fourth Proportional to 703.86, 1,048.26 and 666.60

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Solution

The fourth proportional to 703.86, 1,048.26 and 666.60 is: 992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.86 : 1,048.26 = 666.60 : x
  2. Step 2: Convert to fraction form
    703.86/1,048.26 = 666.60/x
  3. Step 3: Cross multiply
    703.86x = 1,048.26 × 666.60
  4. Step 4: Simplify right side
    703.86x = 698,770.12
  5. Step 5: Solve for x
    x = 698,770.12/703.86
  6. Step 6: Final answer
    x = 992.77

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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.