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Finding the Fourth Proportional to 1,415.61, 2,123.28 and 491.13

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Solution

The fourth proportional to 1,415.61, 2,123.28 and 491.13 is: 736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.61 : 2,123.28 = 491.13 : x
  2. Step 2: Convert to fraction form
    1,415.61/2,123.28 = 491.13/x
  3. Step 3: Cross multiply
    1,415.61x = 2,123.28 × 491.13
  4. Step 4: Simplify right side
    1,415.61x = 1,042,806.51
  5. Step 5: Solve for x
    x = 1,042,806.51/1,415.61
  6. Step 6: Final answer
    x = 736.65

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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.