Home / 1,310.83-1,965.98-617.31

Finding the Fourth Proportional to 1,310.83, 1,965.98 and 617.31

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Solution

The fourth proportional to 1,310.83, 1,965.98 and 617.31 is: 925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.83 : 1,965.98 = 617.31 : x
  2. Step 2: Convert to fraction form
    1,310.83/1,965.98 = 617.31/x
  3. Step 3: Cross multiply
    1,310.83x = 1,965.98 × 617.31
  4. Step 4: Simplify right side
    1,310.83x = 1,213,618.76
  5. Step 5: Solve for x
    x = 1,213,618.76/1,310.83
  6. Step 6: Final answer
    x = 925.84

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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.