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Finding the Fourth Proportional to 1,201.42, 1,658.10 and 782.98

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Solution

The fourth proportional to 1,201.42, 1,658.10 and 782.98 is: 1,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.42 : 1,658.10 = 782.98 : x
  2. Step 2: Convert to fraction form
    1,201.42/1,658.10 = 782.98/x
  3. Step 3: Cross multiply
    1,201.42x = 1,658.10 × 782.98
  4. Step 4: Simplify right side
    1,201.42x = 1,298,259.14
  5. Step 5: Solve for x
    x = 1,298,259.14/1,201.42
  6. Step 6: Final answer
    x = 1,080.60

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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.