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Finding the Fourth Proportional to 535.30, 737.62 and 506.26

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Solution

The fourth proportional to 535.30, 737.62 and 506.26 is: 697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.30 : 737.62 = 506.26 : x
  2. Step 2: Convert to fraction form
    535.30/737.62 = 506.26/x
  3. Step 3: Cross multiply
    535.30x = 737.62 × 506.26
  4. Step 4: Simplify right side
    535.30x = 373,425.86
  5. Step 5: Solve for x
    x = 373,425.86/535.30
  6. Step 6: Final answer
    x = 697.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.