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Finding the Fourth Proportional to 572.60, 857.34 and 417.72

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Solution

The fourth proportional to 572.60, 857.34 and 417.72 is: 625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.60 : 857.34 = 417.72 : x
  2. Step 2: Convert to fraction form
    572.60/857.34 = 417.72/x
  3. Step 3: Cross multiply
    572.60x = 857.34 × 417.72
  4. Step 4: Simplify right side
    572.60x = 358,128.06
  5. Step 5: Solve for x
    x = 358,128.06/572.60
  6. Step 6: Final answer
    x = 625.44

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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.