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Finding the Fourth Proportional to 914.02, 1,370.42 and 452.01

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Solution

The fourth proportional to 914.02, 1,370.42 and 452.01 is: 677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.02 : 1,370.42 = 452.01 : x
  2. Step 2: Convert to fraction form
    914.02/1,370.42 = 452.01/x
  3. Step 3: Cross multiply
    914.02x = 1,370.42 × 452.01
  4. Step 4: Simplify right side
    914.02x = 619,448.12
  5. Step 5: Solve for x
    x = 619,448.12/914.02
  6. Step 6: Final answer
    x = 677.72

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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.