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Finding the Fourth Proportional to 535.95, 803.93 and 407.57

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Solution

The fourth proportional to 535.95, 803.93 and 407.57 is: 611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 803.93 = 407.57 : x
  2. Step 2: Convert to fraction form
    535.95/803.93 = 407.57/x
  3. Step 3: Cross multiply
    535.95x = 803.93 × 407.57
  4. Step 4: Simplify right side
    535.95x = 327,651.69
  5. Step 5: Solve for x
    x = 327,651.69/535.95
  6. Step 6: Final answer
    x = 611.35

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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.