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Finding the Fourth Proportional to 1,477.36, 2,215.78 and 552.72

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Solution

The fourth proportional to 1,477.36, 2,215.78 and 552.72 is: 828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.36 : 2,215.78 = 552.72 : x
  2. Step 2: Convert to fraction form
    1,477.36/2,215.78 = 552.72/x
  3. Step 3: Cross multiply
    1,477.36x = 2,215.78 × 552.72
  4. Step 4: Simplify right side
    1,477.36x = 1,224,703.16
  5. Step 5: Solve for x
    x = 1,224,703.16/1,477.36
  6. Step 6: Final answer
    x = 828.98

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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.