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Finding the Fourth Proportional to 1,021.99, 1,540.09 and 924.55

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Solution

The fourth proportional to 1,021.99, 1,540.09 and 924.55 is: 1,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.99 : 1,540.09 = 924.55 : x
  2. Step 2: Convert to fraction form
    1,021.99/1,540.09 = 924.55/x
  3. Step 3: Cross multiply
    1,021.99x = 1,540.09 × 924.55
  4. Step 4: Simplify right side
    1,021.99x = 1,423,890.21
  5. Step 5: Solve for x
    x = 1,423,890.21/1,021.99
  6. Step 6: Final answer
    x = 1,393.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.