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Finding the Fourth Proportional to 1,801.64, 2,701.76 and 631.30

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Solution

The fourth proportional to 1,801.64, 2,701.76 and 631.30 is: 946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.64 : 2,701.76 = 631.30 : x
  2. Step 2: Convert to fraction form
    1,801.64/2,701.76 = 631.30/x
  3. Step 3: Cross multiply
    1,801.64x = 2,701.76 × 631.30
  4. Step 4: Simplify right side
    1,801.64x = 1,705,621.09
  5. Step 5: Solve for x
    x = 1,705,621.09/1,801.64
  6. Step 6: Final answer
    x = 946.70

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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.