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Finding the Fourth Proportional to 535.51, 801.74 and 414.01

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Solution

The fourth proportional to 535.51, 801.74 and 414.01 is: 619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.51 : 801.74 = 414.01 : x
  2. Step 2: Convert to fraction form
    535.51/801.74 = 414.01/x
  3. Step 3: Cross multiply
    535.51x = 801.74 × 414.01
  4. Step 4: Simplify right side
    535.51x = 331,927.41
  5. Step 5: Solve for x
    x = 331,927.41/535.51
  6. Step 6: Final answer
    x = 619.84

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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.