Home / 1,030.24-1,421.68-588.16

Finding the Fourth Proportional to 1,030.24, 1,421.68 and 588.16

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Solution

The fourth proportional to 1,030.24, 1,421.68 and 588.16 is: 811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.24 : 1,421.68 = 588.16 : x
  2. Step 2: Convert to fraction form
    1,030.24/1,421.68 = 588.16/x
  3. Step 3: Cross multiply
    1,030.24x = 1,421.68 × 588.16
  4. Step 4: Simplify right side
    1,030.24x = 836,175.31
  5. Step 5: Solve for x
    x = 836,175.31/1,030.24
  6. Step 6: Final answer
    x = 811.63

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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.