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Finding the Fourth Proportional to 944.24, 1,407.14 and 916.07

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Solution

The fourth proportional to 944.24, 1,407.14 and 916.07 is: 1,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.24 : 1,407.14 = 916.07 : x
  2. Step 2: Convert to fraction form
    944.24/1,407.14 = 916.07/x
  3. Step 3: Cross multiply
    944.24x = 1,407.14 × 916.07
  4. Step 4: Simplify right side
    944.24x = 1,289,027.12
  5. Step 5: Solve for x
    x = 1,289,027.12/944.24
  6. Step 6: Final answer
    x = 1,365.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.