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Finding the Fourth Proportional to 478.16, 720.46 and 432.56

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Solution

The fourth proportional to 478.16, 720.46 and 432.56 is: 651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 720.46 = 432.56 : x
  2. Step 2: Convert to fraction form
    478.16/720.46 = 432.56/x
  3. Step 3: Cross multiply
    478.16x = 720.46 × 432.56
  4. Step 4: Simplify right side
    478.16x = 311,642.18
  5. Step 5: Solve for x
    x = 311,642.18/478.16
  6. Step 6: Final answer
    x = 651.75

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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.