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Finding the Fourth Proportional to 1,021.61, 1,539.23 and 924.22

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Solution

The fourth proportional to 1,021.61, 1,539.23 and 924.22 is: 1,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.61 : 1,539.23 = 924.22 : x
  2. Step 2: Convert to fraction form
    1,021.61/1,539.23 = 924.22/x
  3. Step 3: Cross multiply
    1,021.61x = 1,539.23 × 924.22
  4. Step 4: Simplify right side
    1,021.61x = 1,422,574.83
  5. Step 5: Solve for x
    x = 1,422,574.83/1,021.61
  6. Step 6: Final answer
    x = 1,392.49

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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.