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Finding the Fourth Proportional to 1,663.39, 2,295.33 and 964.81

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Solution

The fourth proportional to 1,663.39, 2,295.33 and 964.81 is: 1,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.39 : 2,295.33 = 964.81 : x
  2. Step 2: Convert to fraction form
    1,663.39/2,295.33 = 964.81/x
  3. Step 3: Cross multiply
    1,663.39x = 2,295.33 × 964.81
  4. Step 4: Simplify right side
    1,663.39x = 2,214,557.34
  5. Step 5: Solve for x
    x = 2,214,557.34/1,663.39
  6. Step 6: Final answer
    x = 1,331.35

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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.