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Finding the Fourth Proportional to 1,340.58, 2,011.51 and 475.30

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Solution

The fourth proportional to 1,340.58, 2,011.51 and 475.30 is: 713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.58 : 2,011.51 = 475.30 : x
  2. Step 2: Convert to fraction form
    1,340.58/2,011.51 = 475.30/x
  3. Step 3: Cross multiply
    1,340.58x = 2,011.51 × 475.30
  4. Step 4: Simplify right side
    1,340.58x = 956,070.70
  5. Step 5: Solve for x
    x = 956,070.70/1,340.58
  6. Step 6: Final answer
    x = 713.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.