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Finding the Fourth Proportional to 953.59, 1,428.76 and 771.07

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Solution

The fourth proportional to 953.59, 1,428.76 and 771.07 is: 1,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.59 : 1,428.76 = 771.07 : x
  2. Step 2: Convert to fraction form
    953.59/1,428.76 = 771.07/x
  3. Step 3: Cross multiply
    953.59x = 1,428.76 × 771.07
  4. Step 4: Simplify right side
    953.59x = 1,101,673.97
  5. Step 5: Solve for x
    x = 1,101,673.97/953.59
  6. Step 6: Final answer
    x = 1,155.29

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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.