Home / 1,435.23-2,152.64-461.21

Finding the Fourth Proportional to 1,435.23, 2,152.64 and 461.21

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Solution

The fourth proportional to 1,435.23, 2,152.64 and 461.21 is: 691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.23 : 2,152.64 = 461.21 : x
  2. Step 2: Convert to fraction form
    1,435.23/2,152.64 = 461.21/x
  3. Step 3: Cross multiply
    1,435.23x = 2,152.64 × 461.21
  4. Step 4: Simplify right side
    1,435.23x = 992,809.48
  5. Step 5: Solve for x
    x = 992,809.48/1,435.23
  6. Step 6: Final answer
    x = 691.74

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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.