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Finding the Fourth Proportional to 535.67, 801.98 and 370.77

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Solution

The fourth proportional to 535.67, 801.98 and 370.77 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.67 : 801.98 = 370.77 : x
  2. Step 2: Convert to fraction form
    535.67/801.98 = 370.77/x
  3. Step 3: Cross multiply
    535.67x = 801.98 × 370.77
  4. Step 4: Simplify right side
    535.67x = 297,350.12
  5. Step 5: Solve for x
    x = 297,350.12/535.67
  6. Step 6: Final answer
    x = 555.10

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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.