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Finding the Fourth Proportional to 918.51, 1,376.02 and 455.74

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Solution

The fourth proportional to 918.51, 1,376.02 and 455.74 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.51 : 1,376.02 = 455.74 : x
  2. Step 2: Convert to fraction form
    918.51/1,376.02 = 455.74/x
  3. Step 3: Cross multiply
    918.51x = 1,376.02 × 455.74
  4. Step 4: Simplify right side
    918.51x = 627,104.48
  5. Step 5: Solve for x
    x = 627,104.48/918.51
  6. Step 6: Final answer
    x = 682.74

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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.