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Finding the Fourth Proportional to 572.84, 858.65 and 419.42

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Solution

The fourth proportional to 572.84, 858.65 and 419.42 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 858.65 = 419.42 : x
  2. Step 2: Convert to fraction form
    572.84/858.65 = 419.42/x
  3. Step 3: Cross multiply
    572.84x = 858.65 × 419.42
  4. Step 4: Simplify right side
    572.84x = 360,128.59
  5. Step 5: Solve for x
    x = 360,128.59/572.84
  6. Step 6: Final answer
    x = 628.68

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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.