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Finding the Fourth Proportional to 654.16, 981.10 and 390.72

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Solution

The fourth proportional to 654.16, 981.10 and 390.72 is: 586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.16 : 981.10 = 390.72 : x
  2. Step 2: Convert to fraction form
    654.16/981.10 = 390.72/x
  3. Step 3: Cross multiply
    654.16x = 981.10 × 390.72
  4. Step 4: Simplify right side
    654.16x = 383,335.39
  5. Step 5: Solve for x
    x = 383,335.39/654.16
  6. Step 6: Final answer
    x = 586.00

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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.