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Finding the Fourth Proportional to 840.36, 1,262.36 and 566.98

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Solution

The fourth proportional to 840.36, 1,262.36 and 566.98 is: 851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,262.36 = 566.98 : x
  2. Step 2: Convert to fraction form
    840.36/1,262.36 = 566.98/x
  3. Step 3: Cross multiply
    840.36x = 1,262.36 × 566.98
  4. Step 4: Simplify right side
    840.36x = 715,732.87
  5. Step 5: Solve for x
    x = 715,732.87/840.36
  6. Step 6: Final answer
    x = 851.70

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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.