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Finding the Fourth Proportional to 924.99, 1,387.80 and 486.37

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Solution

The fourth proportional to 924.99, 1,387.80 and 486.37 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.99 : 1,387.80 = 486.37 : x
  2. Step 2: Convert to fraction form
    924.99/1,387.80 = 486.37/x
  3. Step 3: Cross multiply
    924.99x = 1,387.80 × 486.37
  4. Step 4: Simplify right side
    924.99x = 674,986.02
  5. Step 5: Solve for x
    x = 674,986.02/924.99
  6. Step 6: Final answer
    x = 729.73

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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.