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Finding the Fourth Proportional to 522.75, 718.37 and 435.27

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Solution

The fourth proportional to 522.75, 718.37 and 435.27 is: 598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 718.37 = 435.27 : x
  2. Step 2: Convert to fraction form
    522.75/718.37 = 435.27/x
  3. Step 3: Cross multiply
    522.75x = 718.37 × 435.27
  4. Step 4: Simplify right side
    522.75x = 312,687.06
  5. Step 5: Solve for x
    x = 312,687.06/522.75
  6. Step 6: Final answer
    x = 598.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.