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Finding the Fourth Proportional to 703.50, 971.37 and 556.89

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Solution

The fourth proportional to 703.50, 971.37 and 556.89 is: 768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.50 : 971.37 = 556.89 : x
  2. Step 2: Convert to fraction form
    703.50/971.37 = 556.89/x
  3. Step 3: Cross multiply
    703.50x = 971.37 × 556.89
  4. Step 4: Simplify right side
    703.50x = 540,946.24
  5. Step 5: Solve for x
    x = 540,946.24/703.50
  6. Step 6: Final answer
    x = 768.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.