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Finding the Fourth Proportional to 1,397.50, 2,096.55 and 473.08

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Solution

The fourth proportional to 1,397.50, 2,096.55 and 473.08 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.50 : 2,096.55 = 473.08 : x
  2. Step 2: Convert to fraction form
    1,397.50/2,096.55 = 473.08/x
  3. Step 3: Cross multiply
    1,397.50x = 2,096.55 × 473.08
  4. Step 4: Simplify right side
    1,397.50x = 991,835.87
  5. Step 5: Solve for x
    x = 991,835.87/1,397.50
  6. Step 6: Final answer
    x = 709.72

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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.