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Finding the Fourth Proportional to 1,551.61, 2,327.90 and 456

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Solution

The fourth proportional to 1,551.61, 2,327.90 and 456 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.61 : 2,327.90 = 456 : x
  2. Step 2: Convert to fraction form
    1,551.61/2,327.90 = 456/x
  3. Step 3: Cross multiply
    1,551.61x = 2,327.90 × 456
  4. Step 4: Simplify right side
    1,551.61x = 1,061,522.40
  5. Step 5: Solve for x
    x = 1,061,522.40/1,551.61
  6. Step 6: Final answer
    x = 684.14

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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.