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Finding the Fourth Proportional to 1,054.78, 1,582.47 and 324.46

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Solution

The fourth proportional to 1,054.78, 1,582.47 and 324.46 is: 486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.78 : 1,582.47 = 324.46 : x
  2. Step 2: Convert to fraction form
    1,054.78/1,582.47 = 324.46/x
  3. Step 3: Cross multiply
    1,054.78x = 1,582.47 × 324.46
  4. Step 4: Simplify right side
    1,054.78x = 513,444.26
  5. Step 5: Solve for x
    x = 513,444.26/1,054.78
  6. Step 6: Final answer
    x = 486.78

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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.