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Finding the Fourth Proportional to 654.35, 981.32 and 577.40

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Solution

The fourth proportional to 654.35, 981.32 and 577.40 is: 865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.35 : 981.32 = 577.40 : x
  2. Step 2: Convert to fraction form
    654.35/981.32 = 577.40/x
  3. Step 3: Cross multiply
    654.35x = 981.32 × 577.40
  4. Step 4: Simplify right side
    654.35x = 566,606.37
  5. Step 5: Solve for x
    x = 566,606.37/654.35
  6. Step 6: Final answer
    x = 865.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.