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Finding the Fourth Proportional to 533.36, 798.68 and 430.08

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Solution

The fourth proportional to 533.36, 798.68 and 430.08 is: 644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.36 : 798.68 = 430.08 : x
  2. Step 2: Convert to fraction form
    533.36/798.68 = 430.08/x
  3. Step 3: Cross multiply
    533.36x = 798.68 × 430.08
  4. Step 4: Simplify right side
    533.36x = 343,496.29
  5. Step 5: Solve for x
    x = 343,496.29/533.36
  6. Step 6: Final answer
    x = 644.02

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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.