Home / 1,215.12-1,823.18-435.22

Finding the Fourth Proportional to 1,215.12, 1,823.18 and 435.22

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Solution

The fourth proportional to 1,215.12, 1,823.18 and 435.22 is: 653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.12 : 1,823.18 = 435.22 : x
  2. Step 2: Convert to fraction form
    1,215.12/1,823.18 = 435.22/x
  3. Step 3: Cross multiply
    1,215.12x = 1,823.18 × 435.22
  4. Step 4: Simplify right side
    1,215.12x = 793,484.40
  5. Step 5: Solve for x
    x = 793,484.40/1,215.12
  6. Step 6: Final answer
    x = 653.01

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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.