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Finding the Fourth Proportional to 555.45, 829.65 and 464.25

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Solution

The fourth proportional to 555.45, 829.65 and 464.25 is: 693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.45 : 829.65 = 464.25 : x
  2. Step 2: Convert to fraction form
    555.45/829.65 = 464.25/x
  3. Step 3: Cross multiply
    555.45x = 829.65 × 464.25
  4. Step 4: Simplify right side
    555.45x = 385,165.01
  5. Step 5: Solve for x
    x = 385,165.01/555.45
  6. Step 6: Final answer
    x = 693.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.