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Finding the Fourth Proportional to 868.99, 1,300.84 and 594.31

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Solution

The fourth proportional to 868.99, 1,300.84 and 594.31 is: 889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.99 : 1,300.84 = 594.31 : x
  2. Step 2: Convert to fraction form
    868.99/1,300.84 = 594.31/x
  3. Step 3: Cross multiply
    868.99x = 1,300.84 × 594.31
  4. Step 4: Simplify right side
    868.99x = 773,097.48
  5. Step 5: Solve for x
    x = 773,097.48/868.99
  6. Step 6: Final answer
    x = 889.65

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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.