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Finding the Fourth Proportional to 912.42, 1,260.16 and 814.01

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Solution

The fourth proportional to 912.42, 1,260.16 and 814.01 is: 1,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,260.16 = 814.01 : x
  2. Step 2: Convert to fraction form
    912.42/1,260.16 = 814.01/x
  3. Step 3: Cross multiply
    912.42x = 1,260.16 × 814.01
  4. Step 4: Simplify right side
    912.42x = 1,025,774.51
  5. Step 5: Solve for x
    x = 1,025,774.51/912.42
  6. Step 6: Final answer
    x = 1,124.24

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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.