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Finding the Fourth Proportional to 1,656.42, 2,484.81 and 790.98

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Solution

The fourth proportional to 1,656.42, 2,484.81 and 790.98 is: 1,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.42 : 2,484.81 = 790.98 : x
  2. Step 2: Convert to fraction form
    1,656.42/2,484.81 = 790.98/x
  3. Step 3: Cross multiply
    1,656.42x = 2,484.81 × 790.98
  4. Step 4: Simplify right side
    1,656.42x = 1,965,435.01
  5. Step 5: Solve for x
    x = 1,965,435.01/1,656.42
  6. Step 6: Final answer
    x = 1,186.56

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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.