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Finding the Fourth Proportional to 654.67, 903.69 and 433.69

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Solution

The fourth proportional to 654.67, 903.69 and 433.69 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.67 : 903.69 = 433.69 : x
  2. Step 2: Convert to fraction form
    654.67/903.69 = 433.69/x
  3. Step 3: Cross multiply
    654.67x = 903.69 × 433.69
  4. Step 4: Simplify right side
    654.67x = 391,922.49
  5. Step 5: Solve for x
    x = 391,922.49/654.67
  6. Step 6: Final answer
    x = 598.66

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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.