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Finding the Fourth Proportional to 551.02, 824.65 and 429.83

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Solution

The fourth proportional to 551.02, 824.65 and 429.83 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.02 : 824.65 = 429.83 : x
  2. Step 2: Convert to fraction form
    551.02/824.65 = 429.83/x
  3. Step 3: Cross multiply
    551.02x = 824.65 × 429.83
  4. Step 4: Simplify right side
    551.02x = 354,459.31
  5. Step 5: Solve for x
    x = 354,459.31/551.02
  6. Step 6: Final answer
    x = 643.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.