Home / 1,215.93-1,823.67-435.90

Finding the Fourth Proportional to 1,215.93, 1,823.67 and 435.90

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Solution

The fourth proportional to 1,215.93, 1,823.67 and 435.90 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.93 : 1,823.67 = 435.90 : x
  2. Step 2: Convert to fraction form
    1,215.93/1,823.67 = 435.90/x
  3. Step 3: Cross multiply
    1,215.93x = 1,823.67 × 435.90
  4. Step 4: Simplify right side
    1,215.93x = 794,937.75
  5. Step 5: Solve for x
    x = 794,937.75/1,215.93
  6. Step 6: Final answer
    x = 653.77

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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.