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Finding the Fourth Proportional to 555.04, 829.16 and 399.64

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Solution

The fourth proportional to 555.04, 829.16 and 399.64 is: 597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.04 : 829.16 = 399.64 : x
  2. Step 2: Convert to fraction form
    555.04/829.16 = 399.64/x
  3. Step 3: Cross multiply
    555.04x = 829.16 × 399.64
  4. Step 4: Simplify right side
    555.04x = 331,365.50
  5. Step 5: Solve for x
    x = 331,365.50/555.04
  6. Step 6: Final answer
    x = 597.01

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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.