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Finding the Fourth Proportional to 654.24, 902.76 and 392.16

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Solution

The fourth proportional to 654.24, 902.76 and 392.16 is: 541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 902.76 = 392.16 : x
  2. Step 2: Convert to fraction form
    654.24/902.76 = 392.16/x
  3. Step 3: Cross multiply
    654.24x = 902.76 × 392.16
  4. Step 4: Simplify right side
    654.24x = 354,026.36
  5. Step 5: Solve for x
    x = 354,026.36/654.24
  6. Step 6: Final answer
    x = 541.13

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