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Finding the Fourth Proportional to 1,146.23, 1,718.76 and 561.27

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Solution

The fourth proportional to 1,146.23, 1,718.76 and 561.27 is: 841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.23 : 1,718.76 = 561.27 : x
  2. Step 2: Convert to fraction form
    1,146.23/1,718.76 = 561.27/x
  3. Step 3: Cross multiply
    1,146.23x = 1,718.76 × 561.27
  4. Step 4: Simplify right side
    1,146.23x = 964,688.43
  5. Step 5: Solve for x
    x = 964,688.43/1,146.23
  6. Step 6: Final answer
    x = 841.62

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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.