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Finding the Fourth Proportional to 1,184.61, 1,777.82 and 454.40

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Solution

The fourth proportional to 1,184.61, 1,777.82 and 454.40 is: 681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.61 : 1,777.82 = 454.40 : x
  2. Step 2: Convert to fraction form
    1,184.61/1,777.82 = 454.40/x
  3. Step 3: Cross multiply
    1,184.61x = 1,777.82 × 454.40
  4. Step 4: Simplify right side
    1,184.61x = 807,830.25
  5. Step 5: Solve for x
    x = 807,830.25/1,184.61
  6. Step 6: Final answer
    x = 681.94

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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.