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Finding the Fourth Proportional to 535.55, 801.90 and 462.65

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Solution

The fourth proportional to 535.55, 801.90 and 462.65 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.55 : 801.90 = 462.65 : x
  2. Step 2: Convert to fraction form
    535.55/801.90 = 462.65/x
  3. Step 3: Cross multiply
    535.55x = 801.90 × 462.65
  4. Step 4: Simplify right side
    535.55x = 370,995.03
  5. Step 5: Solve for x
    x = 370,995.03/535.55
  6. Step 6: Final answer
    x = 692.74

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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.