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Finding the Fourth Proportional to 1,184.64, 1,776.80 and 319.02

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Solution

The fourth proportional to 1,184.64, 1,776.80 and 319.02 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.64 : 1,776.80 = 319.02 : x
  2. Step 2: Convert to fraction form
    1,184.64/1,776.80 = 319.02/x
  3. Step 3: Cross multiply
    1,184.64x = 1,776.80 × 319.02
  4. Step 4: Simplify right side
    1,184.64x = 566,834.74
  5. Step 5: Solve for x
    x = 566,834.74/1,184.64
  6. Step 6: Final answer
    x = 478.49

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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.