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Finding the Fourth Proportional to 944.80, 1,417.12 and 553.57

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Solution

The fourth proportional to 944.80, 1,417.12 and 553.57 is: 830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.80 : 1,417.12 = 553.57 : x
  2. Step 2: Convert to fraction form
    944.80/1,417.12 = 553.57/x
  3. Step 3: Cross multiply
    944.80x = 1,417.12 × 553.57
  4. Step 4: Simplify right side
    944.80x = 784,475.12
  5. Step 5: Solve for x
    x = 784,475.12/944.80
  6. Step 6: Final answer
    x = 830.31

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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.