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Finding the Fourth Proportional to 1,417.54, 2,125.62 and 493.15

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Solution

The fourth proportional to 1,417.54, 2,125.62 and 493.15 is: 739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.54 : 2,125.62 = 493.15 : x
  2. Step 2: Convert to fraction form
    1,417.54/2,125.62 = 493.15/x
  3. Step 3: Cross multiply
    1,417.54x = 2,125.62 × 493.15
  4. Step 4: Simplify right side
    1,417.54x = 1,048,249.50
  5. Step 5: Solve for x
    x = 1,048,249.50/1,417.54
  6. Step 6: Final answer
    x = 739.48

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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.