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Finding the Fourth Proportional to 607.64, 912.35 and 300.53

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Solution

The fourth proportional to 607.64, 912.35 and 300.53 is: 451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.64 : 912.35 = 300.53 : x
  2. Step 2: Convert to fraction form
    607.64/912.35 = 300.53/x
  3. Step 3: Cross multiply
    607.64x = 912.35 × 300.53
  4. Step 4: Simplify right side
    607.64x = 274,191.58
  5. Step 5: Solve for x
    x = 274,191.58/607.64
  6. Step 6: Final answer
    x = 451.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.