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Finding the Fourth Proportional to 1,415.76, 2,123.66 and 538.66

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Solution

The fourth proportional to 1,415.76, 2,123.66 and 538.66 is: 808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.76 : 2,123.66 = 538.66 : x
  2. Step 2: Convert to fraction form
    1,415.76/2,123.66 = 538.66/x
  3. Step 3: Cross multiply
    1,415.76x = 2,123.66 × 538.66
  4. Step 4: Simplify right side
    1,415.76x = 1,143,930.70
  5. Step 5: Solve for x
    x = 1,143,930.70/1,415.76
  6. Step 6: Final answer
    x = 808.00

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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.