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Finding the Fourth Proportional to 1,312.57, 1,811.54 and 997.32

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Solution

The fourth proportional to 1,312.57, 1,811.54 and 997.32 is: 1,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.57 : 1,811.54 = 997.32 : x
  2. Step 2: Convert to fraction form
    1,312.57/1,811.54 = 997.32/x
  3. Step 3: Cross multiply
    1,312.57x = 1,811.54 × 997.32
  4. Step 4: Simplify right side
    1,312.57x = 1,806,676.02
  5. Step 5: Solve for x
    x = 1,806,676.02/1,312.57
  6. Step 6: Final answer
    x = 1,376.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.