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Finding the Fourth Proportional to 654.55, 981.35 and 469.43

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Solution

The fourth proportional to 654.55, 981.35 and 469.43 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.55 : 981.35 = 469.43 : x
  2. Step 2: Convert to fraction form
    654.55/981.35 = 469.43/x
  3. Step 3: Cross multiply
    654.55x = 981.35 × 469.43
  4. Step 4: Simplify right side
    654.55x = 460,673.32
  5. Step 5: Solve for x
    x = 460,673.32/654.55
  6. Step 6: Final answer
    x = 703.80

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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.