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Finding the Fourth Proportional to 1,063.99, 1,468.40 and 591.87

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Solution

The fourth proportional to 1,063.99, 1,468.40 and 591.87 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.99 : 1,468.40 = 591.87 : x
  2. Step 2: Convert to fraction form
    1,063.99/1,468.40 = 591.87/x
  3. Step 3: Cross multiply
    1,063.99x = 1,468.40 × 591.87
  4. Step 4: Simplify right side
    1,063.99x = 869,106.95
  5. Step 5: Solve for x
    x = 869,106.95/1,063.99
  6. Step 6: Final answer
    x = 816.84

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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.