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Finding the Fourth Proportional to 984.79, 1,476.87 and 437.46

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Solution

The fourth proportional to 984.79, 1,476.87 and 437.46 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.79 : 1,476.87 = 437.46 : x
  2. Step 2: Convert to fraction form
    984.79/1,476.87 = 437.46/x
  3. Step 3: Cross multiply
    984.79x = 1,476.87 × 437.46
  4. Step 4: Simplify right side
    984.79x = 646,071.55
  5. Step 5: Solve for x
    x = 646,071.55/984.79
  6. Step 6: Final answer
    x = 656.05

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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.