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Finding the Fourth Proportional to 703.54, 971.76 and 506.71

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Solution

The fourth proportional to 703.54, 971.76 and 506.71 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 971.76 = 506.71 : x
  2. Step 2: Convert to fraction form
    703.54/971.76 = 506.71/x
  3. Step 3: Cross multiply
    703.54x = 971.76 × 506.71
  4. Step 4: Simplify right side
    703.54x = 492,400.51
  5. Step 5: Solve for x
    x = 492,400.51/703.54
  6. Step 6: Final answer
    x = 699.89

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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.