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Finding the Fourth Proportional to 1,095.38, 1,642.57 and 315.20

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Solution

The fourth proportional to 1,095.38, 1,642.57 and 315.20 is: 472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.38 : 1,642.57 = 315.20 : x
  2. Step 2: Convert to fraction form
    1,095.38/1,642.57 = 315.20/x
  3. Step 3: Cross multiply
    1,095.38x = 1,642.57 × 315.20
  4. Step 4: Simplify right side
    1,095.38x = 517,733.17
  5. Step 5: Solve for x
    x = 517,733.17/1,095.38
  6. Step 6: Final answer
    x = 472.65

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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.