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Finding the Fourth Proportional to 734.99, 1,013.90 and 455.14

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Solution

The fourth proportional to 734.99, 1,013.90 and 455.14 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.99 : 1,013.90 = 455.14 : x
  2. Step 2: Convert to fraction form
    734.99/1,013.90 = 455.14/x
  3. Step 3: Cross multiply
    734.99x = 1,013.90 × 455.14
  4. Step 4: Simplify right side
    734.99x = 461,465.05
  5. Step 5: Solve for x
    x = 461,465.05/734.99
  6. Step 6: Final answer
    x = 627.85

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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.