Home / 1,541.92-2,312.40-446.36

Finding the Fourth Proportional to 1,541.92, 2,312.40 and 446.36

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Solution

The fourth proportional to 1,541.92, 2,312.40 and 446.36 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.92 : 2,312.40 = 446.36 : x
  2. Step 2: Convert to fraction form
    1,541.92/2,312.40 = 446.36/x
  3. Step 3: Cross multiply
    1,541.92x = 2,312.40 × 446.36
  4. Step 4: Simplify right side
    1,541.92x = 1,032,162.86
  5. Step 5: Solve for x
    x = 1,032,162.86/1,541.92
  6. Step 6: Final answer
    x = 669.40

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1.5x scale

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.