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Finding the Fourth Proportional to 654.95, 903.70 and 433.78

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Solution

The fourth proportional to 654.95, 903.70 and 433.78 is: 598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.95 : 903.70 = 433.78 : x
  2. Step 2: Convert to fraction form
    654.95/903.70 = 433.78/x
  3. Step 3: Cross multiply
    654.95x = 903.70 × 433.78
  4. Step 4: Simplify right side
    654.95x = 392,003.64
  5. Step 5: Solve for x
    x = 392,003.64/654.95
  6. Step 6: Final answer
    x = 598.53

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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.