Home / 1,542.06-2,312.83-431.50

Finding the Fourth Proportional to 1,542.06, 2,312.83 and 431.50

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Solution

The fourth proportional to 1,542.06, 2,312.83 and 431.50 is: 647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.06 : 2,312.83 = 431.50 : x
  2. Step 2: Convert to fraction form
    1,542.06/2,312.83 = 431.50/x
  3. Step 3: Cross multiply
    1,542.06x = 2,312.83 × 431.50
  4. Step 4: Simplify right side
    1,542.06x = 997,986.15
  5. Step 5: Solve for x
    x = 997,986.15/1,542.06
  6. Step 6: Final answer
    x = 647.18

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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.