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Finding the Fourth Proportional to 612.64, 912.44 and 605.12

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Solution

The fourth proportional to 612.64, 912.44 and 605.12 is: 901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.64 : 912.44 = 605.12 : x
  2. Step 2: Convert to fraction form
    612.64/912.44 = 605.12/x
  3. Step 3: Cross multiply
    612.64x = 912.44 × 605.12
  4. Step 4: Simplify right side
    612.64x = 552,135.69
  5. Step 5: Solve for x
    x = 552,135.69/612.64
  6. Step 6: Final answer
    x = 901.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.