Home / 1,215.42-1,822.93-435.30

Finding the Fourth Proportional to 1,215.42, 1,822.93 and 435.30

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Solution

The fourth proportional to 1,215.42, 1,822.93 and 435.30 is: 652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.42 : 1,822.93 = 435.30 : x
  2. Step 2: Convert to fraction form
    1,215.42/1,822.93 = 435.30/x
  3. Step 3: Cross multiply
    1,215.42x = 1,822.93 × 435.30
  4. Step 4: Simplify right side
    1,215.42x = 793,519.25
  5. Step 5: Solve for x
    x = 793,519.25/1,215.42
  6. Step 6: Final answer
    x = 652.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.