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Finding the Fourth Proportional to 1,654.76, 2,283.49 and 946.57

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Solution

The fourth proportional to 1,654.76, 2,283.49 and 946.57 is: 1,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.76 : 2,283.49 = 946.57 : x
  2. Step 2: Convert to fraction form
    1,654.76/2,283.49 = 946.57/x
  3. Step 3: Cross multiply
    1,654.76x = 2,283.49 × 946.57
  4. Step 4: Simplify right side
    1,654.76x = 2,161,466.98
  5. Step 5: Solve for x
    x = 2,161,466.98/1,654.76
  6. Step 6: Final answer
    x = 1,306.21

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Half scale
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Double scale
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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.