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Finding the Fourth Proportional to 1,256.04, 1,882.62 and 561.24

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Solution

The fourth proportional to 1,256.04, 1,882.62 and 561.24 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.04 : 1,882.62 = 561.24 : x
  2. Step 2: Convert to fraction form
    1,256.04/1,882.62 = 561.24/x
  3. Step 3: Cross multiply
    1,256.04x = 1,882.62 × 561.24
  4. Step 4: Simplify right side
    1,256.04x = 1,056,601.65
  5. Step 5: Solve for x
    x = 1,056,601.65/1,256.04
  6. Step 6: Final answer
    x = 841.22

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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.