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Finding the Fourth Proportional to 953.68, 1,316.17 and 580.68

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Solution

The fourth proportional to 953.68, 1,316.17 and 580.68 is: 801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.68 : 1,316.17 = 580.68 : x
  2. Step 2: Convert to fraction form
    953.68/1,316.17 = 580.68/x
  3. Step 3: Cross multiply
    953.68x = 1,316.17 × 580.68
  4. Step 4: Simplify right side
    953.68x = 764,270.69
  5. Step 5: Solve for x
    x = 764,270.69/953.68
  6. Step 6: Final answer
    x = 801.40

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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.