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Finding the Fourth Proportional to 533.12, 797.88 and 430.16

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Solution

The fourth proportional to 533.12, 797.88 and 430.16 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 797.88 = 430.16 : x
  2. Step 2: Convert to fraction form
    533.12/797.88 = 430.16/x
  3. Step 3: Cross multiply
    533.12x = 797.88 × 430.16
  4. Step 4: Simplify right side
    533.12x = 343,216.06
  5. Step 5: Solve for x
    x = 343,216.06/533.12
  6. Step 6: Final answer
    x = 643.79

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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.