Home / 1,029.47-1,420.77-609.96

Finding the Fourth Proportional to 1,029.47, 1,420.77 and 609.96

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Solution

The fourth proportional to 1,029.47, 1,420.77 and 609.96 is: 841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.47 : 1,420.77 = 609.96 : x
  2. Step 2: Convert to fraction form
    1,029.47/1,420.77 = 609.96/x
  3. Step 3: Cross multiply
    1,029.47x = 1,420.77 × 609.96
  4. Step 4: Simplify right side
    1,029.47x = 866,612.87
  5. Step 5: Solve for x
    x = 866,612.87/1,029.47
  6. Step 6: Final answer
    x = 841.80

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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.