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Finding the Fourth Proportional to 1,063.95, 1,468.98 and 814.83

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Solution

The fourth proportional to 1,063.95, 1,468.98 and 814.83 is: 1,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.95 : 1,468.98 = 814.83 : x
  2. Step 2: Convert to fraction form
    1,063.95/1,468.98 = 814.83/x
  3. Step 3: Cross multiply
    1,063.95x = 1,468.98 × 814.83
  4. Step 4: Simplify right side
    1,063.95x = 1,196,968.97
  5. Step 5: Solve for x
    x = 1,196,968.97/1,063.95
  6. Step 6: Final answer
    x = 1,125.02

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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.