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Finding the Fourth Proportional to 1,678.72, 2,518.32 and 524.80

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Solution

The fourth proportional to 1,678.72, 2,518.32 and 524.80 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.72 : 2,518.32 = 524.80 : x
  2. Step 2: Convert to fraction form
    1,678.72/2,518.32 = 524.80/x
  3. Step 3: Cross multiply
    1,678.72x = 2,518.32 × 524.80
  4. Step 4: Simplify right side
    1,678.72x = 1,321,614.34
  5. Step 5: Solve for x
    x = 1,321,614.34/1,678.72
  6. Step 6: Final answer
    x = 787.28

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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.