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Finding the Fourth Proportional to 1,146.44, 1,719.23 and 561.08

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Solution

The fourth proportional to 1,146.44, 1,719.23 and 561.08 is: 841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.44 : 1,719.23 = 561.08 : x
  2. Step 2: Convert to fraction form
    1,146.44/1,719.23 = 561.08/x
  3. Step 3: Cross multiply
    1,146.44x = 1,719.23 × 561.08
  4. Step 4: Simplify right side
    1,146.44x = 964,614.17
  5. Step 5: Solve for x
    x = 964,614.17/1,146.44
  6. Step 6: Final answer
    x = 841.40

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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.