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Finding the Fourth Proportional to 1,597.77, 2,396.12 and 981.77

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Solution

The fourth proportional to 1,597.77, 2,396.12 and 981.77 is: 1,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.77 : 2,396.12 = 981.77 : x
  2. Step 2: Convert to fraction form
    1,597.77/2,396.12 = 981.77/x
  3. Step 3: Cross multiply
    1,597.77x = 2,396.12 × 981.77
  4. Step 4: Simplify right side
    1,597.77x = 2,352,421.84
  5. Step 5: Solve for x
    x = 2,352,421.84/1,597.77
  6. Step 6: Final answer
    x = 1,472.32

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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.