Home / 1,541.67-2,312.58-431.16

Finding the Fourth Proportional to 1,541.67, 2,312.58 and 431.16

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Solution

The fourth proportional to 1,541.67, 2,312.58 and 431.16 is: 646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.67 : 2,312.58 = 431.16 : x
  2. Step 2: Convert to fraction form
    1,541.67/2,312.58 = 431.16/x
  3. Step 3: Cross multiply
    1,541.67x = 2,312.58 × 431.16
  4. Step 4: Simplify right side
    1,541.67x = 997,091.99
  5. Step 5: Solve for x
    x = 997,091.99/1,541.67
  6. Step 6: Final answer
    x = 646.76

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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.