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Finding the Fourth Proportional to 1,312.59, 1,968.69 and 446.79

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Solution

The fourth proportional to 1,312.59, 1,968.69 and 446.79 is: 670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.59 : 1,968.69 = 446.79 : x
  2. Step 2: Convert to fraction form
    1,312.59/1,968.69 = 446.79/x
  3. Step 3: Cross multiply
    1,312.59x = 1,968.69 × 446.79
  4. Step 4: Simplify right side
    1,312.59x = 879,591.01
  5. Step 5: Solve for x
    x = 879,591.01/1,312.59
  6. Step 6: Final answer
    x = 670.12

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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.