Home / 1,029.40-1,420.46-587.28

Finding the Fourth Proportional to 1,029.40, 1,420.46 and 587.28

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Solution

The fourth proportional to 1,029.40, 1,420.46 and 587.28 is: 810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.40 : 1,420.46 = 587.28 : x
  2. Step 2: Convert to fraction form
    1,029.40/1,420.46 = 587.28/x
  3. Step 3: Cross multiply
    1,029.40x = 1,420.46 × 587.28
  4. Step 4: Simplify right side
    1,029.40x = 834,207.75
  5. Step 5: Solve for x
    x = 834,207.75/1,029.40
  6. Step 6: Final answer
    x = 810.38

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1.5x scale

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.