Home / 1,029.14-1,419.93-609.32

Finding the Fourth Proportional to 1,029.14, 1,419.93 and 609.32

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Solution

The fourth proportional to 1,029.14, 1,419.93 and 609.32 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.14 : 1,419.93 = 609.32 : x
  2. Step 2: Convert to fraction form
    1,029.14/1,419.93 = 609.32/x
  3. Step 3: Cross multiply
    1,029.14x = 1,419.93 × 609.32
  4. Step 4: Simplify right side
    1,029.14x = 865,195.30
  5. Step 5: Solve for x
    x = 865,195.30/1,029.14
  6. Step 6: Final answer
    x = 840.70

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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.