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Finding the Fourth Proportional to 1,146.48, 1,581.96 and 648.84

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Solution

The fourth proportional to 1,146.48, 1,581.96 and 648.84 is: 895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.48 : 1,581.96 = 648.84 : x
  2. Step 2: Convert to fraction form
    1,146.48/1,581.96 = 648.84/x
  3. Step 3: Cross multiply
    1,146.48x = 1,581.96 × 648.84
  4. Step 4: Simplify right side
    1,146.48x = 1,026,438.93
  5. Step 5: Solve for x
    x = 1,026,438.93/1,146.48
  6. Step 6: Final answer
    x = 895.30

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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.