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Finding the Fourth Proportional to 523.13, 783.75 and 435.92

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Solution

The fourth proportional to 523.13, 783.75 and 435.92 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 783.75 = 435.92 : x
  2. Step 2: Convert to fraction form
    523.13/783.75 = 435.92/x
  3. Step 3: Cross multiply
    523.13x = 783.75 × 435.92
  4. Step 4: Simplify right side
    523.13x = 341,652.30
  5. Step 5: Solve for x
    x = 341,652.30/523.13
  6. Step 6: Final answer
    x = 653.09

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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.