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Finding the Fourth Proportional to 1,014.70, 1,521.15 and 905.35

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Solution

The fourth proportional to 1,014.70, 1,521.15 and 905.35 is: 1,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.70 : 1,521.15 = 905.35 : x
  2. Step 2: Convert to fraction form
    1,014.70/1,521.15 = 905.35/x
  3. Step 3: Cross multiply
    1,014.70x = 1,521.15 × 905.35
  4. Step 4: Simplify right side
    1,014.70x = 1,377,173.15
  5. Step 5: Solve for x
    x = 1,377,173.15/1,014.70
  6. Step 6: Final answer
    x = 1,357.22

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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.