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Finding the Fourth Proportional to 1,415.17, 2,123.04 and 490.77

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Solution

The fourth proportional to 1,415.17, 2,123.04 and 490.77 is: 736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.17 : 2,123.04 = 490.77 : x
  2. Step 2: Convert to fraction form
    1,415.17/2,123.04 = 490.77/x
  3. Step 3: Cross multiply
    1,415.17x = 2,123.04 × 490.77
  4. Step 4: Simplify right side
    1,415.17x = 1,041,914.70
  5. Step 5: Solve for x
    x = 1,041,914.70/1,415.17
  6. Step 6: Final answer
    x = 736.25

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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.