Home / 1,029.96-1,421.40-587.88

Finding the Fourth Proportional to 1,029.96, 1,421.40 and 587.88

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Solution

The fourth proportional to 1,029.96, 1,421.40 and 587.88 is: 811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.96 : 1,421.40 = 587.88 : x
  2. Step 2: Convert to fraction form
    1,029.96/1,421.40 = 587.88/x
  3. Step 3: Cross multiply
    1,029.96x = 1,421.40 × 587.88
  4. Step 4: Simplify right side
    1,029.96x = 835,612.63
  5. Step 5: Solve for x
    x = 835,612.63/1,029.96
  6. Step 6: Final answer
    x = 811.31

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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.