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Finding the Fourth Proportional to 654.91, 903.40 and 392.77

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Solution

The fourth proportional to 654.91, 903.40 and 392.77 is: 541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.91 : 903.40 = 392.77 : x
  2. Step 2: Convert to fraction form
    654.91/903.40 = 392.77/x
  3. Step 3: Cross multiply
    654.91x = 903.40 × 392.77
  4. Step 4: Simplify right side
    654.91x = 354,828.42
  5. Step 5: Solve for x
    x = 354,828.42/654.91
  6. Step 6: Final answer
    x = 541.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.