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Finding the Fourth Proportional to 707.80, 976.44 and 651.64

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Solution

The fourth proportional to 707.80, 976.44 and 651.64 is: 898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.80 : 976.44 = 651.64 : x
  2. Step 2: Convert to fraction form
    707.80/976.44 = 651.64/x
  3. Step 3: Cross multiply
    707.80x = 976.44 × 651.64
  4. Step 4: Simplify right side
    707.80x = 636,287.36
  5. Step 5: Solve for x
    x = 636,287.36/707.80
  6. Step 6: Final answer
    x = 898.96

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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.