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Finding the Fourth Proportional to 1,029.90, 1,421.49 and 656.80

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Solution

The fourth proportional to 1,029.90, 1,421.49 and 656.80 is: 906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.90 : 1,421.49 = 656.80 : x
  2. Step 2: Convert to fraction form
    1,029.90/1,421.49 = 656.80/x
  3. Step 3: Cross multiply
    1,029.90x = 1,421.49 × 656.80
  4. Step 4: Simplify right side
    1,029.90x = 933,626.92
  5. Step 5: Solve for x
    x = 933,626.92/1,029.90
  6. Step 6: Final answer
    x = 906.52

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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.