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Finding the Fourth Proportional to 1,029.93, 1,421.49 and 657.03

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Solution

The fourth proportional to 1,029.93, 1,421.49 and 657.03 is: 906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.93 : 1,421.49 = 657.03 : x
  2. Step 2: Convert to fraction form
    1,029.93/1,421.49 = 657.03/x
  3. Step 3: Cross multiply
    1,029.93x = 1,421.49 × 657.03
  4. Step 4: Simplify right side
    1,029.93x = 933,954.47
  5. Step 5: Solve for x
    x = 933,954.47/1,029.93
  6. Step 6: Final answer
    x = 906.81

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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.