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Finding the Fourth Proportional to 1,095.41, 1,643.13 and 576.45

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Solution

The fourth proportional to 1,095.41, 1,643.13 and 576.45 is: 864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.41 : 1,643.13 = 576.45 : x
  2. Step 2: Convert to fraction form
    1,095.41/1,643.13 = 576.45/x
  3. Step 3: Cross multiply
    1,095.41x = 1,643.13 × 576.45
  4. Step 4: Simplify right side
    1,095.41x = 947,182.29
  5. Step 5: Solve for x
    x = 947,182.29/1,095.41
  6. Step 6: Final answer
    x = 864.68

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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.