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Finding the Fourth Proportional to 1,376.79, 2,064.75 and 452.20

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Solution

The fourth proportional to 1,376.79, 2,064.75 and 452.20 is: 678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.79 : 2,064.75 = 452.20 : x
  2. Step 2: Convert to fraction form
    1,376.79/2,064.75 = 452.20/x
  3. Step 3: Cross multiply
    1,376.79x = 2,064.75 × 452.20
  4. Step 4: Simplify right side
    1,376.79x = 933,679.95
  5. Step 5: Solve for x
    x = 933,679.95/1,376.79
  6. Step 6: Final answer
    x = 678.16

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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.