Home / 1,421.37-2,132.42-434.16

Finding the Fourth Proportional to 1,421.37, 2,132.42 and 434.16

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Solution

The fourth proportional to 1,421.37, 2,132.42 and 434.16 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.37 : 2,132.42 = 434.16 : x
  2. Step 2: Convert to fraction form
    1,421.37/2,132.42 = 434.16/x
  3. Step 3: Cross multiply
    1,421.37x = 2,132.42 × 434.16
  4. Step 4: Simplify right side
    1,421.37x = 925,809.30
  5. Step 5: Solve for x
    x = 925,809.30/1,421.37
  6. Step 6: Final answer
    x = 651.35

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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.