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Finding the Fourth Proportional to 1,476.72, 2,215.16 and 706.96

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Solution

The fourth proportional to 1,476.72, 2,215.16 and 706.96 is: 1,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.72 : 2,215.16 = 706.96 : x
  2. Step 2: Convert to fraction form
    1,476.72/2,215.16 = 706.96/x
  3. Step 3: Cross multiply
    1,476.72x = 2,215.16 × 706.96
  4. Step 4: Simplify right side
    1,476.72x = 1,566,029.51
  5. Step 5: Solve for x
    x = 1,566,029.51/1,476.72
  6. Step 6: Final answer
    x = 1,060.48

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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.