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Finding the Fourth Proportional to 814.51, 1,124.04 and 637.71

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Solution

The fourth proportional to 814.51, 1,124.04 and 637.71 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.51 : 1,124.04 = 637.71 : x
  2. Step 2: Convert to fraction form
    814.51/1,124.04 = 637.71/x
  3. Step 3: Cross multiply
    814.51x = 1,124.04 × 637.71
  4. Step 4: Simplify right side
    814.51x = 716,811.55
  5. Step 5: Solve for x
    x = 716,811.55/814.51
  6. Step 6: Final answer
    x = 880.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.