Home / 1,029.96-1,421.34-587.84

Finding the Fourth Proportional to 1,029.96, 1,421.34 and 587.84

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Solution

The fourth proportional to 1,029.96, 1,421.34 and 587.84 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.96 : 1,421.34 = 587.84 : x
  2. Step 2: Convert to fraction form
    1,029.96/1,421.34 = 587.84/x
  3. Step 3: Cross multiply
    1,029.96x = 1,421.34 × 587.84
  4. Step 4: Simplify right side
    1,029.96x = 835,510.46
  5. Step 5: Solve for x
    x = 835,510.46/1,029.96
  6. Step 6: Final answer
    x = 811.21

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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.