Home / 1,312.50-1,968.78-446.84

Finding the Fourth Proportional to 1,312.50, 1,968.78 and 446.84

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Solution

The fourth proportional to 1,312.50, 1,968.78 and 446.84 is: 670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.50 : 1,968.78 = 446.84 : x
  2. Step 2: Convert to fraction form
    1,312.50/1,968.78 = 446.84/x
  3. Step 3: Cross multiply
    1,312.50x = 1,968.78 × 446.84
  4. Step 4: Simplify right side
    1,312.50x = 879,719.81
  5. Step 5: Solve for x
    x = 879,719.81/1,312.50
  6. Step 6: Final answer
    x = 670.26

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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.