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Finding the Fourth Proportional to 1,062.36, 1,466.37 and 688.68

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Solution

The fourth proportional to 1,062.36, 1,466.37 and 688.68 is: 950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.36 : 1,466.37 = 688.68 : x
  2. Step 2: Convert to fraction form
    1,062.36/1,466.37 = 688.68/x
  3. Step 3: Cross multiply
    1,062.36x = 1,466.37 × 688.68
  4. Step 4: Simplify right side
    1,062.36x = 1,009,859.69
  5. Step 5: Solve for x
    x = 1,009,859.69/1,062.36
  6. Step 6: Final answer
    x = 950.58

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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.