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Finding the Fourth Proportional to 1,477.71, 2,215.08 and 552.69

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Solution

The fourth proportional to 1,477.71, 2,215.08 and 552.69 is: 828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.71 : 2,215.08 = 552.69 : x
  2. Step 2: Convert to fraction form
    1,477.71/2,215.08 = 552.69/x
  3. Step 3: Cross multiply
    1,477.71x = 2,215.08 × 552.69
  4. Step 4: Simplify right side
    1,477.71x = 1,224,252.57
  5. Step 5: Solve for x
    x = 1,224,252.57/1,477.71
  6. Step 6: Final answer
    x = 828.48

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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.