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Finding the Fourth Proportional to 1,029.57, 1,420.82 and 609.91

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Solution

The fourth proportional to 1,029.57, 1,420.82 and 609.91 is: 841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.57 : 1,420.82 = 609.91 : x
  2. Step 2: Convert to fraction form
    1,029.57/1,420.82 = 609.91/x
  3. Step 3: Cross multiply
    1,029.57x = 1,420.82 × 609.91
  4. Step 4: Simplify right side
    1,029.57x = 866,572.33
  5. Step 5: Solve for x
    x = 866,572.33/1,029.57
  6. Step 6: Final answer
    x = 841.68

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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.