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Finding the Fourth Proportional to 912.05, 1,257.53 and 632.52

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Solution

The fourth proportional to 912.05, 1,257.53 and 632.52 is: 872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.05 : 1,257.53 = 632.52 : x
  2. Step 2: Convert to fraction form
    912.05/1,257.53 = 632.52/x
  3. Step 3: Cross multiply
    912.05x = 1,257.53 × 632.52
  4. Step 4: Simplify right side
    912.05x = 795,409.71
  5. Step 5: Solve for x
    x = 795,409.71/912.05
  6. Step 6: Final answer
    x = 872.12

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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.