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Finding the Fourth Proportional to 654.75, 903.92 and 434.00

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Solution

The fourth proportional to 654.75, 903.92 and 434.00 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 903.92 = 434.00 : x
  2. Step 2: Convert to fraction form
    654.75/903.92 = 434.00/x
  3. Step 3: Cross multiply
    654.75x = 903.92 × 434.00
  4. Step 4: Simplify right side
    654.75x = 392,300.35
  5. Step 5: Solve for x
    x = 392,300.35/654.75
  6. Step 6: Final answer
    x = 599.16

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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.