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Finding the Fourth Proportional to 1,538.48, 2,307.68 and 442.86

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Solution

The fourth proportional to 1,538.48, 2,307.68 and 442.86 is: 664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.48 : 2,307.68 = 442.86 : x
  2. Step 2: Convert to fraction form
    1,538.48/2,307.68 = 442.86/x
  3. Step 3: Cross multiply
    1,538.48x = 2,307.68 × 442.86
  4. Step 4: Simplify right side
    1,538.48x = 1,021,979.16
  5. Step 5: Solve for x
    x = 1,021,979.16/1,538.48
  6. Step 6: Final answer
    x = 664.28

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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.