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Finding the Fourth Proportional to 572.47, 858.18 and 419.14

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Solution

The fourth proportional to 572.47, 858.18 and 419.14 is: 628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.47 : 858.18 = 419.14 : x
  2. Step 2: Convert to fraction form
    572.47/858.18 = 419.14/x
  3. Step 3: Cross multiply
    572.47x = 858.18 × 419.14
  4. Step 4: Simplify right side
    572.47x = 359,697.57
  5. Step 5: Solve for x
    x = 359,697.57/572.47
  6. Step 6: Final answer
    x = 628.33

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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.