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Finding the Fourth Proportional to 963.96, 1,330.44 and 614.64

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Solution

The fourth proportional to 963.96, 1,330.44 and 614.64 is: 848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.96 : 1,330.44 = 614.64 : x
  2. Step 2: Convert to fraction form
    963.96/1,330.44 = 614.64/x
  3. Step 3: Cross multiply
    963.96x = 1,330.44 × 614.64
  4. Step 4: Simplify right side
    963.96x = 817,741.64
  5. Step 5: Solve for x
    x = 817,741.64/963.96
  6. Step 6: Final answer
    x = 848.31

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1.5x scale

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.