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Finding the Fourth Proportional to 535.85, 801.55 and 503.05

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Solution

The fourth proportional to 535.85, 801.55 and 503.05 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.85 : 801.55 = 503.05 : x
  2. Step 2: Convert to fraction form
    535.85/801.55 = 503.05/x
  3. Step 3: Cross multiply
    535.85x = 801.55 × 503.05
  4. Step 4: Simplify right side
    535.85x = 403,216.98
  5. Step 5: Solve for x
    x = 403,216.98/535.85
  6. Step 6: Final answer
    x = 752.48

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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.