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Finding the Fourth Proportional to 1,811.52, 2,717.28 and 657

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Solution

The fourth proportional to 1,811.52, 2,717.28 and 657 is: 985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.52 : 2,717.28 = 657 : x
  2. Step 2: Convert to fraction form
    1,811.52/2,717.28 = 657/x
  3. Step 3: Cross multiply
    1,811.52x = 2,717.28 × 657
  4. Step 4: Simplify right side
    1,811.52x = 1,785,252.96
  5. Step 5: Solve for x
    x = 1,785,252.96/1,811.52
  6. Step 6: Final answer
    x = 985.50

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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.