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Finding the Fourth Proportional to 473.58, 712.85 and 432.05

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Solution

The fourth proportional to 473.58, 712.85 and 432.05 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 712.85 = 432.05 : x
  2. Step 2: Convert to fraction form
    473.58/712.85 = 432.05/x
  3. Step 3: Cross multiply
    473.58x = 712.85 × 432.05
  4. Step 4: Simplify right side
    473.58x = 307,984.36
  5. Step 5: Solve for x
    x = 307,984.36/473.58
  6. Step 6: Final answer
    x = 650.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.