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Finding the Fourth Proportional to 617.84, 853.36 and 470.40

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Solution

The fourth proportional to 617.84, 853.36 and 470.40 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 853.36 = 470.40 : x
  2. Step 2: Convert to fraction form
    617.84/853.36 = 470.40/x
  3. Step 3: Cross multiply
    617.84x = 853.36 × 470.40
  4. Step 4: Simplify right side
    617.84x = 401,420.54
  5. Step 5: Solve for x
    x = 401,420.54/617.84
  6. Step 6: Final answer
    x = 649.72

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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.