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Finding the Fourth Proportional to 912.84, 1,369.86 and 604.53

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Solution

The fourth proportional to 912.84, 1,369.86 and 604.53 is: 907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.84 : 1,369.86 = 604.53 : x
  2. Step 2: Convert to fraction form
    912.84/1,369.86 = 604.53/x
  3. Step 3: Cross multiply
    912.84x = 1,369.86 × 604.53
  4. Step 4: Simplify right side
    912.84x = 828,121.47
  5. Step 5: Solve for x
    x = 828,121.47/912.84
  6. Step 6: Final answer
    x = 907.19

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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.