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Finding the Fourth Proportional to 572.42, 858.69 and 429.05

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Solution

The fourth proportional to 572.42, 858.69 and 429.05 is: 643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 858.69 = 429.05 : x
  2. Step 2: Convert to fraction form
    572.42/858.69 = 429.05/x
  3. Step 3: Cross multiply
    572.42x = 858.69 × 429.05
  4. Step 4: Simplify right side
    572.42x = 368,416.65
  5. Step 5: Solve for x
    x = 368,416.65/572.42
  6. Step 6: Final answer
    x = 643.62

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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.