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Finding the Fourth Proportional to 992.49, 1,488.72 and 584.22

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Solution

The fourth proportional to 992.49, 1,488.72 and 584.22 is: 876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.49 : 1,488.72 = 584.22 : x
  2. Step 2: Convert to fraction form
    992.49/1,488.72 = 584.22/x
  3. Step 3: Cross multiply
    992.49x = 1,488.72 × 584.22
  4. Step 4: Simplify right side
    992.49x = 869,736.11
  5. Step 5: Solve for x
    x = 869,736.11/992.49
  6. Step 6: Final answer
    x = 876.32

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1.5x scale

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.