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Finding the Fourth Proportional to 710.37, 973.82 and 699.03

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Solution

The fourth proportional to 710.37, 973.82 and 699.03 is: 958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.37 : 973.82 = 699.03 : x
  2. Step 2: Convert to fraction form
    710.37/973.82 = 699.03/x
  3. Step 3: Cross multiply
    710.37x = 973.82 × 699.03
  4. Step 4: Simplify right side
    710.37x = 680,731.14
  5. Step 5: Solve for x
    x = 680,731.14/710.37
  6. Step 6: Final answer
    x = 958.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.