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Finding the Fourth Proportional to 619.58, 853.75 and 508.70

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Solution

The fourth proportional to 619.58, 853.75 and 508.70 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.58 : 853.75 = 508.70 : x
  2. Step 2: Convert to fraction form
    619.58/853.75 = 508.70/x
  3. Step 3: Cross multiply
    619.58x = 853.75 × 508.70
  4. Step 4: Simplify right side
    619.58x = 434,302.63
  5. Step 5: Solve for x
    x = 434,302.63/619.58
  6. Step 6: Final answer
    x = 700.96

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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.