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Finding the Fourth Proportional to 1,542.00, 2,312.31 and 956.98

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Solution

The fourth proportional to 1,542.00, 2,312.31 and 956.98 is: 1,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.00 : 2,312.31 = 956.98 : x
  2. Step 2: Convert to fraction form
    1,542.00/2,312.31 = 956.98/x
  3. Step 3: Cross multiply
    1,542.00x = 2,312.31 × 956.98
  4. Step 4: Simplify right side
    1,542.00x = 2,212,840.90
  5. Step 5: Solve for x
    x = 2,212,840.90/1,542.00
  6. Step 6: Final answer
    x = 1,435.04

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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.