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Finding the Fourth Proportional to 954.03, 1,316.18 and 580.71

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Solution

The fourth proportional to 954.03, 1,316.18 and 580.71 is: 801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.03 : 1,316.18 = 580.71 : x
  2. Step 2: Convert to fraction form
    954.03/1,316.18 = 580.71/x
  3. Step 3: Cross multiply
    954.03x = 1,316.18 × 580.71
  4. Step 4: Simplify right side
    954.03x = 764,318.89
  5. Step 5: Solve for x
    x = 764,318.89/954.03
  6. Step 6: Final answer
    x = 801.15

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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.