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Finding the Fourth Proportional to 617.76, 853.20 and 420.93

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Solution

The fourth proportional to 617.76, 853.20 and 420.93 is: 581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 853.20 = 420.93 : x
  2. Step 2: Convert to fraction form
    617.76/853.20 = 420.93/x
  3. Step 3: Cross multiply
    617.76x = 853.20 × 420.93
  4. Step 4: Simplify right side
    617.76x = 359,137.48
  5. Step 5: Solve for x
    x = 359,137.48/617.76
  6. Step 6: Final answer
    x = 581.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.