Home / 1,312.38-1,968.57-446.70

Finding the Fourth Proportional to 1,312.38, 1,968.57 and 446.70

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Solution

The fourth proportional to 1,312.38, 1,968.57 and 446.70 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.38 : 1,968.57 = 446.70 : x
  2. Step 2: Convert to fraction form
    1,312.38/1,968.57 = 446.70/x
  3. Step 3: Cross multiply
    1,312.38x = 1,968.57 × 446.70
  4. Step 4: Simplify right side
    1,312.38x = 879,360.22
  5. Step 5: Solve for x
    x = 879,360.22/1,312.38
  6. Step 6: Final answer
    x = 670.05

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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.