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Finding the Fourth Proportional to 533.02, 732.60 and 470.47

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Solution

The fourth proportional to 533.02, 732.60 and 470.47 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.02 : 732.60 = 470.47 : x
  2. Step 2: Convert to fraction form
    533.02/732.60 = 470.47/x
  3. Step 3: Cross multiply
    533.02x = 732.60 × 470.47
  4. Step 4: Simplify right side
    533.02x = 344,666.32
  5. Step 5: Solve for x
    x = 344,666.32/533.02
  6. Step 6: Final answer
    x = 646.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.