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Finding the Fourth Proportional to 1,381.65, 2,071.86 and 559.63

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Solution

The fourth proportional to 1,381.65, 2,071.86 and 559.63 is: 839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.65 : 2,071.86 = 559.63 : x
  2. Step 2: Convert to fraction form
    1,381.65/2,071.86 = 559.63/x
  3. Step 3: Cross multiply
    1,381.65x = 2,071.86 × 559.63
  4. Step 4: Simplify right side
    1,381.65x = 1,159,475.01
  5. Step 5: Solve for x
    x = 1,159,475.01/1,381.65
  6. Step 6: Final answer
    x = 839.20

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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.