Home / 1,029.10-1,419.32-655.96

Finding the Fourth Proportional to 1,029.10, 1,419.32 and 655.96

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Solution

The fourth proportional to 1,029.10, 1,419.32 and 655.96 is: 904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.10 : 1,419.32 = 655.96 : x
  2. Step 2: Convert to fraction form
    1,029.10/1,419.32 = 655.96/x
  3. Step 3: Cross multiply
    1,029.10x = 1,419.32 × 655.96
  4. Step 4: Simplify right side
    1,029.10x = 931,017.15
  5. Step 5: Solve for x
    x = 931,017.15/1,029.10
  6. Step 6: Final answer
    x = 904.69

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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.