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Finding the Fourth Proportional to 535, 803.16 and 433.48

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Solution

The fourth proportional to 535, 803.16 and 433.48 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 803.16 = 433.48 : x
  2. Step 2: Convert to fraction form
    535/803.16 = 433.48/x
  3. Step 3: Cross multiply
    535x = 803.16 × 433.48
  4. Step 4: Simplify right side
    535x = 348,153.80
  5. Step 5: Solve for x
    x = 348,153.80/535
  6. Step 6: Final answer
    x = 650.75

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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.