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Finding the Fourth Proportional to 656.40, 983.46 and 461.03

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Solution

The fourth proportional to 656.40, 983.46 and 461.03 is: 690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.40 : 983.46 = 461.03 : x
  2. Step 2: Convert to fraction form
    656.40/983.46 = 461.03/x
  3. Step 3: Cross multiply
    656.40x = 983.46 × 461.03
  4. Step 4: Simplify right side
    656.40x = 453,402.11
  5. Step 5: Solve for x
    x = 453,402.11/656.40
  6. Step 6: Final answer
    x = 690.74

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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.