Home / 1,541.71-2,312.67-446.08

Finding the Fourth Proportional to 1,541.71, 2,312.67 and 446.08

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Solution

The fourth proportional to 1,541.71, 2,312.67 and 446.08 is: 669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.71 : 2,312.67 = 446.08 : x
  2. Step 2: Convert to fraction form
    1,541.71/2,312.67 = 446.08/x
  3. Step 3: Cross multiply
    1,541.71x = 2,312.67 × 446.08
  4. Step 4: Simplify right side
    1,541.71x = 1,031,624.27
  5. Step 5: Solve for x
    x = 1,031,624.27/1,541.71
  6. Step 6: Final answer
    x = 669.15

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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.