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Finding the Fourth Proportional to 912.69, 1,370.12 and 547.65

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Solution

The fourth proportional to 912.69, 1,370.12 and 547.65 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.69 : 1,370.12 = 547.65 : x
  2. Step 2: Convert to fraction form
    912.69/1,370.12 = 547.65/x
  3. Step 3: Cross multiply
    912.69x = 1,370.12 × 547.65
  4. Step 4: Simplify right side
    912.69x = 750,346.22
  5. Step 5: Solve for x
    x = 750,346.22/912.69
  6. Step 6: Final answer
    x = 822.13

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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.