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Finding the Fourth Proportional to 1,054.78, 1,582.17 and 361.65

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Solution

The fourth proportional to 1,054.78, 1,582.17 and 361.65 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.78 : 1,582.17 = 361.65 : x
  2. Step 2: Convert to fraction form
    1,054.78/1,582.17 = 361.65/x
  3. Step 3: Cross multiply
    1,054.78x = 1,582.17 × 361.65
  4. Step 4: Simplify right side
    1,054.78x = 572,188.98
  5. Step 5: Solve for x
    x = 572,188.98/1,054.78
  6. Step 6: Final answer
    x = 542.47

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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.