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Finding the Fourth Proportional to 944.97, 1,302.18 and 709.16

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Solution

The fourth proportional to 944.97, 1,302.18 and 709.16 is: 977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.97 : 1,302.18 = 709.16 : x
  2. Step 2: Convert to fraction form
    944.97/1,302.18 = 709.16/x
  3. Step 3: Cross multiply
    944.97x = 1,302.18 × 709.16
  4. Step 4: Simplify right side
    944.97x = 923,444.80
  5. Step 5: Solve for x
    x = 923,444.80/944.97
  6. Step 6: Final answer
    x = 977.23

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1.5x scale

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.