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Finding the Fourth Proportional to 1,247.65, 1,870.64 and 662.18

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Solution

The fourth proportional to 1,247.65, 1,870.64 and 662.18 is: 992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.65 : 1,870.64 = 662.18 : x
  2. Step 2: Convert to fraction form
    1,247.65/1,870.64 = 662.18/x
  3. Step 3: Cross multiply
    1,247.65x = 1,870.64 × 662.18
  4. Step 4: Simplify right side
    1,247.65x = 1,238,693.94
  5. Step 5: Solve for x
    x = 1,238,693.94/1,247.65
  6. Step 6: Final answer
    x = 992.82

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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.