Home / 1,030.12-1,421.21-587.71

Finding the Fourth Proportional to 1,030.12, 1,421.21 and 587.71

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Solution

The fourth proportional to 1,030.12, 1,421.21 and 587.71 is: 810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.12 : 1,421.21 = 587.71 : x
  2. Step 2: Convert to fraction form
    1,030.12/1,421.21 = 587.71/x
  3. Step 3: Cross multiply
    1,030.12x = 1,421.21 × 587.71
  4. Step 4: Simplify right side
    1,030.12x = 835,259.33
  5. Step 5: Solve for x
    x = 835,259.33/1,030.12
  6. Step 6: Final answer
    x = 810.84

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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.