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Finding the Fourth Proportional to 705.71, 973.32 and 658.55

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Solution

The fourth proportional to 705.71, 973.32 and 658.55 is: 908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 973.32 = 658.55 : x
  2. Step 2: Convert to fraction form
    705.71/973.32 = 658.55/x
  3. Step 3: Cross multiply
    705.71x = 973.32 × 658.55
  4. Step 4: Simplify right side
    705.71x = 640,979.89
  5. Step 5: Solve for x
    x = 640,979.89/705.71
  6. Step 6: Final answer
    x = 908.28

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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.