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Finding the Fourth Proportional to 1,310.42, 1,965.03 and 617.28

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Solution

The fourth proportional to 1,310.42, 1,965.03 and 617.28 is: 925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.42 : 1,965.03 = 617.28 : x
  2. Step 2: Convert to fraction form
    1,310.42/1,965.03 = 617.28/x
  3. Step 3: Cross multiply
    1,310.42x = 1,965.03 × 617.28
  4. Step 4: Simplify right side
    1,310.42x = 1,212,973.72
  5. Step 5: Solve for x
    x = 1,212,973.72/1,310.42
  6. Step 6: Final answer
    x = 925.64

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.