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Finding the Fourth Proportional to 534.83, 801.25 and 291.65

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Solution

The fourth proportional to 534.83, 801.25 and 291.65 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 801.25 = 291.65 : x
  2. Step 2: Convert to fraction form
    534.83/801.25 = 291.65/x
  3. Step 3: Cross multiply
    534.83x = 801.25 × 291.65
  4. Step 4: Simplify right side
    534.83x = 233,679.83
  5. Step 5: Solve for x
    x = 233,679.83/534.83
  6. Step 6: Final answer
    x = 436.93

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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.