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Finding the Fourth Proportional to 1,417.76, 2,127.11 and 493.55

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Solution

The fourth proportional to 1,417.76, 2,127.11 and 493.55 is: 740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.76 : 2,127.11 = 493.55 : x
  2. Step 2: Convert to fraction form
    1,417.76/2,127.11 = 493.55/x
  3. Step 3: Cross multiply
    1,417.76x = 2,127.11 × 493.55
  4. Step 4: Simplify right side
    1,417.76x = 1,049,822.04
  5. Step 5: Solve for x
    x = 1,049,822.04/1,417.76
  6. Step 6: Final answer
    x = 740.48

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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.