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Finding the Fourth Proportional to 1,472.15, 2,205.62 and 777.28

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Solution

The fourth proportional to 1,472.15, 2,205.62 and 777.28 is: 1,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.15 : 2,205.62 = 777.28 : x
  2. Step 2: Convert to fraction form
    1,472.15/2,205.62 = 777.28/x
  3. Step 3: Cross multiply
    1,472.15x = 2,205.62 × 777.28
  4. Step 4: Simplify right side
    1,472.15x = 1,714,390.18
  5. Step 5: Solve for x
    x = 1,714,390.18/1,472.15
  6. Step 6: Final answer
    x = 1,164.55

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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.