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Finding the Fourth Proportional to 654.60, 902.54 and 433.16

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Solution

The fourth proportional to 654.60, 902.54 and 433.16 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 902.54 = 433.16 : x
  2. Step 2: Convert to fraction form
    654.60/902.54 = 433.16/x
  3. Step 3: Cross multiply
    654.60x = 902.54 × 433.16
  4. Step 4: Simplify right side
    654.60x = 390,944.23
  5. Step 5: Solve for x
    x = 390,944.23/654.60
  6. Step 6: Final answer
    x = 597.23

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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.